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Internal resistance of 1.2 ohms and external resistance of 10 ohms are connected to the 5 V. Find the current

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Answered by sam1258
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Current Electricity

EMF, Terminal Voltage and Internal Resistance and Problems on It

Two cells having emf's of 1...

PHYSICS

Two cells having emf's of 10V and 8V and internal resistance of 1Ω (each) are connected as shown with an external resistance of 8Ω. Find the current flowing through the circuit.

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Suppose that a current i flows through the external resistance (8Ω) and it divides into two branches at the node B as i

1

and i

2

Using KCL, i

1

+i

2

=1

Using KVL

For loop ABYXA

(−i

1

)1+(i−i

1

)1=−10+8

for loop ABQPA

(−i

2

)1+(−i)8=−10

On solving we get

i=

17

18

A≈1.06A

i

1

=10−8i=(10−8.54)A=1.52A

i

2

=i−i

1

=−0.46A

The negative sign for i

2

means that its direction its opposite to the direction that we had assumed.

Explanation:

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