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Use the circuit below and Kirchhoff’s Laws to find the current I1 and I2 and the resistance R.

Use the circuit below and Kirchhoff’s Laws to find the current I1 and I2 and the resistance-example-1

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Step-by-step explanation:

Sum of currents entering a node = sum of currents leave the node

0.20 = I₁ + I₂

Sum of voltage gains and voltage drops around a loop = 0

Left loop:

6 − 100I₁ = 0

Outer loop:

6 − 3 − I₂R = 0

Solving the second equation:

I₁ = 0.06 A

Plug into the first equation:

I₂ = 0.14 A

Plug into the third equation:

R = 21.4 Ω

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