-
In the figure below, the voltage across the 18 ohm resistor is 90 volts. What is the total voltage across the combined circuit?
-
- 125 V
- 16 V
- 24 V
- 40 V
- 125 V
Correct Option: A
Since voltage across 18 ohm resistance is 90 volts, hence current through 18 ohm resistance
= | = 5 A | |
18 |
Equivalent resistance of 3 ohm and 6 ohm bank
= | = 2 ohms | |
3 + 6 |
Since this 2 ohms resistance is in series with 18 ohm resistance, therefore Total resistance = 18 + 2 = 20 ohms
This 20 ohm resistance is in parallel with 5 ohm resistance
∴ Equivalent resistance = | = 4 ohms | |
5 + 20 |
Hence total resistance of the circuit = 1 + 4 = 5 ohms. Current through this branch is 5 A
∴ Voltage across = 5 × 20 = 100 V = voltage across bc.
Hence, current through 5-ohm resistance
= | = 20 A | |
5 |
∴ Total current through ab = 20 + 5 = 25 A. Since total resistance of the circuit is 5 ohm, therefore voltage, E = 25 × 5 = 125 V.