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Four Cells, Each of E.M.F. 1.5 V and Internal Resistance 2.0 Ohms Are Connected in Parallel. the Battery of Cells is Connected to an External Resistance of 2.5 Ohms. Calculate:

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प्रश्न

Four cells, each of e.m.f. 1.5 V and internal resistance 2.0 ohms are connected in parallel. The battery of cells is connected to an external resistance of 2.5 ohms. Calculate:

(i) The total resistance of the circuit.
(ii) The current flowing in the external circuit.
(iii) The drop in potential across-the terminals of the cells.

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उत्तर

E.m.f. of cell (each) = 1.5 V. and also e.m.f. of all four cells = 1.5V, internal resistance of each cell = 2.0 ohm.

Total internal resistance of all four cells

`1/"r"^1 = 4/"r" = 4/2.0 = 2.0  "ohm"`

∴ r1 = `1/2` = 0.5 ohm

(i) ∴ Total resistance of circuit = R + r

= 2.5 + 0.5 = 3.0 ohm

(ii) Current flowing in the external circuit

I = `"E"/"r" = 1.5/2.5 = 0.6` Amp.

(iii) The drop in potential across the terminals of the cells

= `"I" xx "r"/4 = 0.6 xx 2/4 = 0.6 xx 0.5 = 0.30 "Volt."`

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