Electric Circuits Answers

Two charges are located on the positive x-axis of a coordinate system. Charge 𝑞1 = 2 × 10⁻⁹𝐶 is 2cm from the origin, and charge 𝑞2 = −3 × 10⁻⁹𝐶 is 4cm from the origin. What is the total force exerted by these two charges on a charge 𝑞3 = 5 × 10⁻⁹𝐶 located at the origin?

1. Two charges are located on the positive x-axis of a coordinate system. Charge 𝑞1 = 2 × 10−9𝐶 is 2cm from the origin, and charge 𝑞2 = −3 × 10−9𝐶 is 4cm from the origin. What is the total force exerted by these two charges on a charge 𝑞3 = 5 × 10−9𝐶 located at the origin?

2. A negative charge of −0.50 × 10−6𝐶 exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?

3. How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10−19𝑁?

4. What is the electric field 30cm from a charge 𝑞 = 4 × 10−9𝐶?

5. The electric field caused by a certain point charge has a magnitude of 5.0 × 103 𝑁 𝐶 at a distance 0.10m from the charge. What is the magnitude of the charge?

A 100 nC charge is placed at the origin. A -50 nC charge is placed at x= 5 cm and a 200 nC is placed at x= -10 cm.

What is the net electrostatic force acting on 200 nC charge?

A wound coil that has an inductance of 180mH and a resistance of 35 is connected to a 100V 50Hz supply calculate the impedance of the coil the current the power factor and the apparent power consumed

capacitors with a capacitance of 5µF, 10µF, and 15µF are connected in parallel and charged with a 12-V battery. (A) What is the voltage across each capacitor? (B) What is the charge in each capacitor? (C) Calculate the total capacitance.

1. Two charges are located on the positive x-axis of a coordinate system. Charge 𝑞1 = 2 × 10^−9𝐶 is 2cm from the origin, and charge 𝑞2 = −3 × 10^−9𝐶 is 4cm from the origin. What is the total force exerted by these two charges on a charge 𝑞3 = 5 × 10^−9𝐶 located at the origin?

2. A negative charge of −0.50 × 10^−6𝐶 exerts a repulsive force of magnitude 0.20 N on an unknown charge 0.20 m away. What is the unknown charge (magnitude and sign)?

3. How many excess electrons must be placed on each of two small spheres spaced 3cm apart if the spheres are to have equal charge and if the force of repulsion between them is to be 10^−19𝑁?

4. What is the electric field 30cm from a charge 𝑞 = 4 × 10^−9𝐶?

A – 41 nC charge is placed in between two-point charges, 32 nC and 24 nC. The negative

charge moves from point a to b. What is the change in potential energy?

A 670m long eureka wire has resistance of 250 ohms. What length of the same wire will have a resistance of 110 ohms?

A cylindrical rod has resistance R. If we triple its length and diameter, what is the resistance, in terms of R?

An aluminum wire with a diameter of 1.02 mm and volume of 1.57x10^-5 m³, has a battery attached to it with an emf of 30 volts. Find (a) the resistance of the wire and (b) the corresponding current.