Question

In the circuit of the figure below, the current I1 is 2.4 A and the values...

In the circuit of the figure below, the current I1 is 2.4 A and the values of e m f and R are unknown. What are the currents I2 and I3? (Enter the magnitude only.)

I2 =

I3 =

A circuit is comprised of two adjacent square loops that share a side such that the right side of the left loop is also the left side of the right loop. The two loops meet at point a at the top of the shared side and point b at the bottom of the shared side.

  • The left side of the left loop contains a resistor R and a current I3 that points upwards.
  • The top side of the left loop contains a battery with voltage emf ℰ oriented such that the positive terminal is on the right and the negative is on the left.
  • The right side of the right loop contains a 6.0 Ω resistor and a current I1 that points downwards.
  • The top side of the right loop contains a 24 V battery oriented such that the positive terminal is on the right and the negative is on the left.
  • The shared side contains a 3.0 Ω resistor and a current I2 that points downwards.
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Answer #1

In right loop,

24 - 6I1 + 3I2 = 0

24 - (6 x 2.4) + 3 I2 = 0

24 - 14.4 + 3 I2 = 0

9.6 + 3 I2 =0

Current, I2 = - 3.2 A

I3 = I1 + I2 = 2.4 - 3.2

Current, I3 = - 0.8 A

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