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LoginThe linear charge density on the circumference of a circle of radius 'a' varies as λ = λ₀cosθ. The total charge on it is _____(A) zero (B) infinite (C) πaλ₀ (D) 2πa
Physics Secondary School in Physics . 8 months ago
+10 pts
Total charge will be zero. Explanation:DQ = ʎ dx Now do the DIFFERENTIATION for above equation, ƪ dq = ƪ ʎ dx Q = ʎᵒ ƪ cos Ɵ . dx [ Ɵ = Arc/radius d Ɵ = dx/R so dx = RdƟ] q = ʎᵒ 0ƪ2π cos Ɵ . dƟ = ʎᵒ R . [Sin Ɵ]2π = ʎᵒ R [ Sin 2π – Sin Ɵ] q = ʎᵒ R [ 0 – 0] So total charge, q = 0
Posted on 15 Sep 2024, this text provides information on Physics related to Secondary School in Physics. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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