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A Bulb is Connected to a Battery of E.M.F. 6v and Internal Resistance 2ω a Steady Current of 0.5a Flows Through the Bulb. Calculate the Resistance of the Bulb. - Physics

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Question

A bulb is connected to a battery of e.m.f. 6V and internal resistance 2Ω A steady current of 0.5A flows through the bulb. Calculate the resistance of the bulb.

Sum
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Solution

Given: E = 6V, r = 2Ω, i = 0.5A, t = 10 minute = 10 × 60s = 600s.

Let the resistance of bulb is R. Then i =`"E"/("R + r")`

or `0.5 = 6/("R" + 2)`  or 0.5 (E + 2) = 6

or 0.5 R + 1 = 6 or 0.5 R = 6 - 1 = 5

or R = `5/0.5 = 10 Omega`

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