Find the current through the 16.3 ohm resistor and the 3.9V battery at the top o

Question

Find the current through the 16.3 ohm resistor and the 3.9V battery at the top of the circuit. Answer in units of A. Find the current through the 23.3 ohm resistor in the center of the circuit. Answer in units of A The currents are flowing in the direction indicated by the arrows. A negative current denotes flow opposite to the direction of the arrow. Assume the batteries have zero internal resistance. Find the current through the 16.3 ohm resistor and the 3.9 V battery at the top of the circuit. Answer in units of A.

Explanation / Answer

Given circuit diagram

in the direction of current through 16.3 ohm resistor

applying KVL

3.9-i*23.3 -16.3*i = 0

lower loop

14.8 -i*23.3 = 0 ==> i = 14.8/23.3A = 0.6352 A

curent through 23.3 ohm is 0.6352 A

substitute in the above equation

  
3.9-i*23.3 -16.3*i = 0
3.9-0.6352*23.3-16.3*i= 0

i = -0.66872 A -----> current through 16.3 ohm

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