Q1. What is the electric field (E) at a distance of 2 meters from a point charge of 5 microcoulombs?
Solution:
Using Coulomb's law, E = k * |q| / r^2, where k = 8.99 x 10^9 N m^2/C^2, q = 5 x 10^-6 C, and r = 2 m. E = (8.99 x 10^9) * (5 x 10^-6) / (2^2) = 1125 N/C.
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Q2. What is the electric field strength between two parallel plates separated by 0.1 m with a potential difference of 100 V?
Solution:
The electric field (E) is given by E = V/d. Here, E = 100V / 0.1m = 1000 N/C.
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Q3. What is the current flowing through a 20 Ω resistor when a voltage of 100 V is applied?
Solution:
Using Ohm's Law: I = V / R = 100 V / 20 Ω = 5 A.
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Q4. What is the potential difference across a capacitor of 2 microfarads charged to 10 volts?
Solution:
The charge (Q) on a capacitor is given by Q = C * V. Here, Q = 2 x 10^-6 F * 10 V = 20 x 10^-6 C = 20 mC.
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Q5. If a circuit has a total resistance of 10 Ω and a current of 2 A, what is the voltage across the circuit?
Solution:
Using Ohm's Law: V = I * R = 2 A * 10 Ω = 20 V.
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Q6. If a capacitor of 5 microfarads is charged to 20 volts, what is the energy stored in the capacitor?
Solution:
The energy (U) stored in a capacitor is given by U = 0.5 * C * V^2. Here, U = 0.5 * 5 x 10^-6 F * (20^2) = 0.02 J.
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Q7. A circuit has a total voltage of 12V and a total resistance of 3 ohms. What is the total current in the circuit?
Solution:
Using Ohm's Law, I = V/R. Here, I = 12V / 3Ω = 4 A.
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Q8. In a parallel circuit with two resistors of 6 ohms and 12 ohms, what is the equivalent resistance?
