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Dimensional formula for capacitance (C)(a) M–1L–2T4A2 (b) M1L–2T4A2 (c) M–1L–2T3A1 (d) M3L1T–1A–2 |
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Answer» (a) M–1L–2T4A2 Explanation: Q = CV Q – charge, C – capacitance, V – voltage C = (Q/V) Q = It where I is current and t is time V = (W/Q) where W is work done and Q is charge W = F × S where F is force and S is displacement ∴ V = (W/Q) = [(F × S) / Q] = [(m × a × s) / Q] ∴ Q = [A1T1] V = ([M1L1T–2L1] / [A1T1]) = [M1L2T–3A–1] ∴ C = (Q/V) = [A1T1] / [M1L2T–3A–1] = [M–1L–2T4A2] |
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