In the circuit in the figure below, determine the following. (a) the current in

Question

In the circuit in the figure below, determine the following.

(a) the current in each resistor (Indicate the direction of the current flow through each resistor through the sign of your answer. Take upward current flow as positive.)

(b) the potential difference across the 20 ? resistor
V

Resistor (?) Current (A) 200 80.0 20.0 70.0 In the circuit in the figure below, determine the following. (a) the current in each resistor (Indicate the direction of the current flow through each resistor through the sign of your answer. Take upward current flow as positive.) Resistor (?) Current (A) 200 80.0 20.0 70.0 (b) the potential difference across the 20 ? resistor V

Explanation / Answer

According to Kirchoff's law:

First mesh:

200i1 + 40 + 80(i1-i2) = 0

Second mesh:

80(i2 -i1) - 40 - 360 + 20 (i2 - i3) = 0

Third mesh:

20(i3 - i2) + 360 +80 + 70i3 = 0

Solving the eq:

i1 = 1A

i2 = 4A

i3 = -4A

For each R:

For 200 ohm: 1 A

For 80 ohm: 4-1 = 3 A

For 20 ohm: 4+4 = 8 A

For 70 ohm: 4 A

B) Knowing R and current, Ohm's law:

V = IR = (8 A) (20) = 160 V

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