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Q.

Two equal resistances R1=R2=R are connected with a 30Ω resistor and a battery of terminal voltage E. the currents in the two branches are 2.25 A and 1.5 A as shown in figure then

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a

R2=15Ω

b

R2=60Ω

c

E=36V

d

E=180V

answer is B, D.

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Detailed Solution

Using Kirchhoff’s 1st law current through R2 is 2.251.5=0.75A. 

Also since R2 is in parallel with the 30Ω resistance, R2 must be 60Ω since only half the current flows through it compared to the current through 30Ω resistor. 

Total resistance in the circuit becomes 60+20=80Ω 

Potential drop across the battery E=IR=2.25×80=180V

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Two equal resistances R1=R2=R are connected with a 30Ω resistor and a battery of terminal voltage E. the currents in the two branches are 2.25 A and 1.5 A as shown in figure then