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Electric circuits miscellaneous

  1. In the figure below, the voltage across the 18 ohm resistor is 90 volts. What is the total voltage across the combined circuit?

    1. 125 V
    2. 16 V
    3. 24 V
    4. 40 V
Correct Option: A

Since voltage across 18 ohm resistance is 90 volts, hence current through 18 ohm resistance

=
90
= 5 A
18

Equivalent resistance of 3 ohm and 6 ohm bank
=
3 × 6
= 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 =
5 × 20
= 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
=
100
= 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.



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