Current Electricity

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Q1. If a 15Ω resistor is connected in parallel with a 5Ω resistor, what is the equivalent resistance? (2023)

Solution:

1/R_eq = 1/15 + 1/5 = 1/15 + 3/15 = 4/15; R_eq = 15/4 = 3.75Ω.

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Q2. What is the total resistance in a circuit with a 10Ω resistor and a 20Ω resistor in series? (2022)

Solution:

In series, R_eq = R1 + R2 = 10Ω + 20Ω = 30Ω.

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Q3. A circuit has a total resistance of 5Ω and a current of 2A. What is the voltage across the circuit? (2023)

Solution:

Using Ohm's law, V = I * R = 2A * 5Ω = 10V.

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Q4. A circuit has a total resistance of 20Ω and a current of 2A flowing through it. What is the voltage across the circuit? (2023)

Solution:

Using Ohm's law, V = I * R = 2A * 20Ω = 40V.

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Q5. What is the total current flowing through a circuit with a 9V battery and a total resistance of 3Ω? (2022)

Solution:

Using Ohm's law, I = V/R = 9V / 3Ω = 3A.

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Q6. What is the current through a 12Ω resistor when a voltage of 48V is applied across it? (2021)

Solution:

Using Ohm's law, I = V/R = 48V / 12Ω = 4A.

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Q7. A 12V battery is connected to a resistor of 4Ω. What is the current flowing through the circuit? (2022)

Solution:

Using Ohm's law, I = V/R = 12V / 4Ω = 3A.

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Q8. If a circuit has a total resistance of 12Ω and a current of 1.5A flows through it, what is the voltage across the circuit? (2022)

Solution:

Using Ohm's law, V = IR = 1.5A * 12Ω = 18V.

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Q9. What is the power consumed by a 6Ω resistor when a current of 3A flows through it? (2021)

Solution:

Power (P) is given by P = I^2 * R = (3A)^2 * 6Ω = 9 * 6 = 54W.

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Q10. What is the current through a 12Ω resistor connected to a 24V battery? (2023)

Solution:

Using Ohm's law, I = V/R = 24V / 12Ω = 2A.