A voltage source and two resistors are connected in parallel as in the given circuit. Suppose that vs = 150 V, R1  = 50 ohm and R2 = 25ohm .Find the currents i1 and i2 in each resistor.

A voltage source and two resistors are connected in parallel as in the given circuit. Suppose that vs = 150 V, R1  = 50 ohm and R2 = 25ohm .Find the currents i1 and i2 in each resistor. A voltage source and two resistors are connected in parallel as in the given circuit. Suppose that vs = 150 V, R1  = 50 ohm and R2 = 25ohm .Find the currents i1 and i2 in each resistor.

Right Answer is:

i1 = 3A , i2 = -6A

SOLUTION

A voltage source and two resistors are connected in parallel as in the given circuit. Suppose that vs = 150 V, R1  = 50 ohm and R2 = 25ohm .Find the currents i1 and i2 in each resistor.

Given Vs = 150 V, R1 = 50 Ω, R2 = 25 Ω

Since voltage parameter in parallel connected elements is same.

Vs = V1 = V2 = 150 V

∴ i1 = V1 / R1 = 150 / 50 = 3 A

Since the direction of the arrow mentioned is in opposite direction to the actual current flow i2 is considered as negative.

i2 = -V2 / R2 = -150 / 25 = – 6 A

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