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Three resistor are in parallel combination of resistance 5ohm, 10ohm and 30 ohm respectively and potential difference is 6V. find A) the value of current through each resistor. B) total current in circuit. C) total effective resistance of the circuit. ?
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Three resistor are in parallel combination of resistance 5ohm, 10ohm a...
Calculations for Parallel Combination of Resistors

Given: Three resistors in parallel combination, R1 = 5 ohm, R2 = 10 ohm, R3 = 30 ohm, potential difference = 6V

A) Current through each resistor:

Using Ohm's Law, we can calculate the current through each resistor as follows:

I1 = V / R1 = 6V / 5 ohm = 1.2A

I2 = V / R2 = 6V / 10 ohm = 0.6A

I3 = V / R3 = 6V / 30 ohm = 0.2A

Therefore, the current through each resistor is I1 = 1.2A, I2 = 0.6A, and I3 = 0.2A.

B) Total current in the circuit:

The total current in the circuit is the sum of the individual currents.

Total current (I) = I1 + I2 + I3 = 1.2A + 0.6A + 0.2A = 2A

Therefore, the total current in the circuit is 2A.

C) Total effective resistance of the circuit:

The effective resistance of resistors in parallel can be calculated as follows:

1 / R = 1 / R1 + 1 / R2 + 1 / R3

1 / R = 1 / 5 ohm + 1 / 10 ohm + 1 / 30 ohm

1 / R = (6 / 30) ohm + (3 / 30) ohm + (1 / 30) ohm

1 / R = 10 / 30 ohm

R = 3 ohm

Therefore, the total effective resistance of the circuit is 3 ohm.

Conclusion:

In summary, the current through each resistor is I1 = 1.2A, I2 = 0.6A, and I3 = 0.2A, the total current in the circuit is 2A, and the total effective resistance of the circuit is 3 ohm.
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Three resistor are in parallel combination of resistance 5ohm, 10ohm and 30 ohm respectively and potential difference is 6V. find A) the value of current through each resistor. B) total current in circuit. C) total effective resistance of the circuit. ?
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