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  1. Current I through resistance r in the circuit shown below, is
    1. -
      V
      12R
    2. V
      12R
    3. V
      6R
    4. V
      3R
Correct Option: B

Using KVL, we have

Va
+
Va - V
+
Va - Vb
= 0
2R2RR

⇒ 4Va = 2Vb + V
and
Vb - Va
+
Va
+
Vb
= 0
R2R2R

⇒ 2Vb = Va
∴ 3Va = V
⇒ Vb = V/6
and I = V/12R



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