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Consider the circuit shown below. Use the junction and loop rules to set up a sy

ID: 2184136 • Letter: C

Question

Consider the circuit shown below. Use the junction and loop rules to set up a system of equations that would allow you to determine the currents through the three resistors. Be sure to label the figure with your expectation as to which direction each current flows through the resistors.

Consider the circuit shown below. Use the junction and loop rules to set up a system of equations that would allow you to determine the currents through the three resistors. Be sure to label the figure with your expectation as to which direction each current flows through the resistors.

Explanation / Answer

let the loop currents be I1 and I2 writing KVL 9 + 9 = 20 I1 +20 (I1 + I2) and 9 + 9 = 10 I2 +20 (I1 + I2) on solving I1 = 0.225A I2 = 0.45A current thru left 20 ohm = 0.225A to left current thru centre 20 ohm = 0.225A + 0.45 = 0.675 A downwards current thru right 10 ohm = 0.45A to left