# Superposition of Current

Using superposition, determine the component of the current through R3 that is due to VS2. VS1 = VS2 = 450V.

(see diagram in attached file)

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

Please see the attached file.

Using superposition, determine the component of the current through R3 that is due to VS2. VS1 = VS2 = 450V.

Superposition theorem states that,

The total current in any part of a linear circuit equals the algebraic sum of the currents produced by each source separately.

Shorting voltage source Vs1 and keeping only Vs2. Current due to Vs2 only,

Equivalent resistance of 7 ohm, 5 ohm and 10 ohm resistances.

(7 + 5 ) || 10 = 5.45 ohm

Vs2 = [1 + 5.45 + R3] I

Where R3 = 1 ohm; Vs2 = 450 V and I is the current we are asked to find.

I = 450/[7.45] = 60.40 Amps

Is the current that is only due to source Vs2.

Additional info:

If you notice, the two voltage sources are tied back to back ( + - + -) which means that they source current in the same direction. Hence if you would like to calculate the total current through the resistance R3, then it would be essentially the sum of currents due to Vs1 and Vs2. In this case it would be 2*60.40 amps = 120.80 amps

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