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A Battery of E.M.F. 15 V and Internal Resistance 3 Ohm is Connected to Two Resistors of Resistances 3 Ohm and 6 Ohm is Series Find: (A) the Current Through the Battery (B) the P.D. Between the Ter

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Question

A battery of e.m.f. 15 V and internal resistance 3 ohm is connected to two resistors of resistances 3 ohm and 6 ohm is series Find:
(a) the current through the battery
(b) the p.d. between the terminals of the battery. 

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Solution

(a) ε = 15 V
R = 6 + 3 = 9 ohm
r = 3 ohm
I = ?
I = ε / (R + r)
I = 15 / (9 + 3) = 15/12 = 1.25 A
(b) Current (calculated in (a) part) I = 1.25 A
External Resistance R = 6 + 3 = 9 ohm
V = IR = 1.25 × 9 = 11.25 V

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