Test: Equivalent Resistance - Electrical Engineering (EE) MCQ

1 ohm in parallel with 2 ohm give 2/3 ohm equivalent which is in series with 4 ohm and 3 ohm so total resistance between A and B = 4 + 2/3 + 3 = 23/3 = 7.67 ohm.

The 1 ohm, 2 ohm and 3 ohm resistors are connected in parallel. Its equivalent resistance is in series with the 4 ohm resistor and the parallel connection of the 5 ohm and 6 ohm resistor. The equivalent resistance of this combination is 80/11 ohm. This is in parallel with 7 ohm to give equivalent resistance between A and B is 3.56 ohm.

In series circuits, the total resistance is the sum of all the resistance in the circuit, hence the total is greater than the largest resistance.

The advantage of series-connections is that they share the supply voltage, hence cheap low voltage appliances may be used.

R=20||20||20=6.67 ohm. The three 20 ohm resistors are in parallel and re-sistance is measured across this terminal.

Bulbs are connected in parallel so that even if one of the bulbs blow out, the others continue to get a current supply.

5 ohm and 15 ohm are connected in series to give 20 ohm.10ohm and 20 ohm are connected in series to give 30 ohm. Now both equivalent resistances (20ohm and 30 ohm) are in parallel to give equivalent resistance 20*30/(20+30) = 12 ohm.

Batteries are generally connected in series so that we can obtain the desired voltage since voltages add up once they are connected in series.

in a parallel circuit, the equivalent resistance=1/sum of the reciprocals of all the resistances in the circuit. Hence it is smaller than the smallest resistance in the circuit.

Explanation: R=((2+3)||5)+1.5)||4. The 2 and the 3-ohm resistor are in series. The equivalent of these two resistors is 5 ohm and it is in parallel with the 5-ohm resistor. So, the net resistance will be 2.5 ohms. This equivalent 2.5-ohm resistor is in series with the 1.5-ohm resistor which will make it a 4-ohm equivalent resistor. Finally, this equivalent 4-ohm resistor is in parallel with the 4-ohm resistor which will make the final answer 2 ohms for the given circuit between points A and B.