{"id":86433,"date":"2025-06-01T03:46:53","date_gmt":"2025-06-01T03:46:53","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86433"},"modified":"2025-06-01T03:46:53","modified_gmt":"2025-06-01T03:46:53","slug":"a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/","title":{"rendered":"A charged particle moves through a magnetic field B with a velocity v."},"content":{"rendered":"

A charged particle moves through a magnetic field B with a velocity v. Which one of the following statements is true for the force (F) experienced by the particle?<\/p>\n

[amp_mcq option1=”F is maximum when v and B are parallel to each other.” option2=”F is maximum when v and B are anti-parallel to each other.” option3=”F is maximum when v and B are perpendicular to each other.” option4=”The force F is independent of the angle between v and B.” correct=”option3″]<\/p>\n

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This question was previously asked in<\/div>\n
UPSC CDS-2 – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
The force experienced by a charged particle moving through a magnetic field is given by the Lorentz force formula, F = q(v \u00d7 B), where q is the charge of the particle, v is its velocity, and B is the magnetic field vector. The magnitude of this force is |F| = |q| |v| |B| sin(\u03b8), where \u03b8 is the angle between the velocity vector (v) and the magnetic field vector (B). The force is maximum when sin(\u03b8) is maximum.<\/section>\n
The sine function has a maximum value of 1, which occurs when the angle \u03b8 is 90 degrees (or \u03c0\/2 radians). This means the magnetic force is maximum when the velocity of the charged particle is perpendicular to the magnetic field.<\/section>\n
When v and B are parallel (\u03b8 = 0) or anti-parallel (\u03b8 = 180 degrees), sin(\u03b8) = 0, and the magnetic force F is zero. The magnetic force is always perpendicular to both the velocity vector and the magnetic field vector.<\/section>\n","protected":false},"excerpt":{"rendered":"

A charged particle moves through a magnetic field B with a velocity v. Which one of the following statements is true for the force (F) experienced by the particle? [amp_mcq option1=”F is maximum when v and B are parallel to each other.” option2=”F is maximum when v and B are anti-parallel to each other.” option3=”F … <\/p>\n

Detailed SolutionA charged particle moves through a magnetic field B with a velocity v.<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1088],"tags":[1105,1201,1128],"class_list":["post-86433","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-2","tag-1105","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nA charged particle moves through a magnetic field B with a velocity v.<\/title>\n<meta name=\"description\" content=\"The force experienced by a charged particle moving through a magnetic field is given by the Lorentz force formula, F = q(v \u00d7 B), where q is the charge of the particle, v is its velocity, and B is the magnetic field vector. The magnitude of this force is |F| = |q| |v| |B| sin(\u03b8), where \u03b8 is the angle between the velocity vector (v) and the magnetic field vector (B). The force is maximum when sin(\u03b8) is maximum. The sine function has a maximum value of 1, which occurs when the angle \u03b8 is 90 degrees (or \u03c0\/2 radians). This means the magnetic force is maximum when the velocity of the charged particle is perpendicular to the magnetic field.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A charged particle moves through a magnetic field B with a velocity v.\" \/>\n<meta property=\"og:description\" content=\"The force experienced by a charged particle moving through a magnetic field is given by the Lorentz force formula, F = q(v \u00d7 B), where q is the charge of the particle, v is its velocity, and B is the magnetic field vector. The magnitude of this force is |F| = |q| |v| |B| sin(\u03b8), where \u03b8 is the angle between the velocity vector (v) and the magnetic field vector (B). The force is maximum when sin(\u03b8) is maximum. The sine function has a maximum value of 1, which occurs when the angle \u03b8 is 90 degrees (or \u03c0\/2 radians). This means the magnetic force is maximum when the velocity of the charged particle is perpendicular to the magnetic field.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:46:53+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"A charged particle moves through a magnetic field B with a velocity v.","description":"The force experienced by a charged particle moving through a magnetic field is given by the Lorentz force formula, F = q(v \u00d7 B), where q is the charge of the particle, v is its velocity, and B is the magnetic field vector. The magnitude of this force is |F| = |q| |v| |B| sin(\u03b8), where \u03b8 is the angle between the velocity vector (v) and the magnetic field vector (B). The force is maximum when sin(\u03b8) is maximum. The sine function has a maximum value of 1, which occurs when the angle \u03b8 is 90 degrees (or \u03c0\/2 radians). This means the magnetic force is maximum when the velocity of the charged particle is perpendicular to the magnetic field.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/","og_locale":"en_US","og_type":"article","og_title":"A charged particle moves through a magnetic field B with a velocity v.","og_description":"The force experienced by a charged particle moving through a magnetic field is given by the Lorentz force formula, F = q(v \u00d7 B), where q is the charge of the particle, v is its velocity, and B is the magnetic field vector. The magnitude of this force is |F| = |q| |v| |B| sin(\u03b8), where \u03b8 is the angle between the velocity vector (v) and the magnetic field vector (B). The force is maximum when sin(\u03b8) is maximum. The sine function has a maximum value of 1, which occurs when the angle \u03b8 is 90 degrees (or \u03c0\/2 radians). This means the magnetic force is maximum when the velocity of the charged particle is perpendicular to the magnetic field.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:46:53+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/","name":"A charged particle moves through a magnetic field B with a velocity v.","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:46:53+00:00","dateModified":"2025-06-01T03:46:53+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The force experienced by a charged particle moving through a magnetic field is given by the Lorentz force formula, F = q(v \u00d7 B), where q is the charge of the particle, v is its velocity, and B is the magnetic field vector. 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This means the magnetic force is maximum when the velocity of the charged particle is perpendicular to the magnetic field.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-charged-particle-moves-through-a-magnetic-field-b-with-a-velocity-v\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-2\/"},{"@type":"ListItem","position":3,"name":"A charged particle moves through a magnetic field B with a velocity v."}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86433","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=86433"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86433\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86433"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86433"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86433"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}