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AP EAMCET · PHYSICS · Alternating Current

The current \(i\) in the circuit given below is
image

  1. A \(-\frac{3 E}{4 R}\)
  2. B \(-\frac{2 E}{R}\)
  3. C \(-\frac{E}{3 R}\)
  4. D \(-\frac{E}{R}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(-\frac{3 E}{4 R}\)

Step-by-step Solution

Detailed explanation

Lets assume current distribution in given circuit is as shown Now, we apply Kirchhoff's loop rule in loop 1 and loop 2 to get following equations: In loop 1, \(-i R-\left(i+i_1\right) R-2 E+E=0\) or \(\quad-2 i R-i_1 R=E\) or \(\quad i_1 R+2 i R=-E\) ...(i) And in loop 2,…
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