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Question

Physics Question on Current electricity

In the circuit shown below, the current in the 1Ω1\Omega resistor is

A

1.3 A, from/5to Q

B

0.13 A, from Q to P

C

0 A

D

0.13 A, from/5to Q

Answer

0.13 A, from Q to P

Explanation

Solution

Applying Kirchhoff's loop law in loops 1 and 2 in the directions shown in figure we have
63(i1+i2)i2=06-3(i_1+i_2)-i_2=0
......(i)
92i1+i23i1=09-2i_1+i_2-3i_1=0
.......(ii)
Solving Eqs. (i) and (ii) we get,
i2=0.13Ai_2=0.13 A
Hence, the current in 1 Q resister is 0.13 A from Q to P