Current Electricity Charging Discharging Of Capacitors Question 727

Question: In the circuit shown, current (in A) through 50 V and 30 V batteries are, respectively.

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Options:

A) 2.5 and 3

B) 3.5 and 2

C) 4.5 and 1

D) 3 and 2.5

Show Answer

Answer:

Correct Answer: C

Solution:

Let the current flowing in the circuit as shown in the diagram.

From the circuit we have,50=20 $i_1$

$i_1$=2.5 A

Also,30=10 (i−$i_1$+i′)3=i−2.5+i′i+i′=5.5

Further, using Kirchhoff’s voltage law in the loop DABCD

we get :20$i_1$−5(i−$i_1$)−10(i−$i_1$+i′)−5(i−$i_1$)=0

20×2.5−10(i−$i_1$)−30=0

50−30=10(i−2.5)i=4.5 A

and,i+i′=5.5

i′=1 A