Capacitors Questions and Answers

Figure 5 shows a system of capacitors, where the potential difference across ab is 38.0 V. (a) What is the equivalent capacitance of this system between a and b? (b) How much charge is stored by the system? (c) How much charge does the 18.0 nF capacitor store? (d) What is the potential difference across the 10.0 nF capacitor?

The rectangular-shaped current pulse shown in Fig. P6.21 is applied to a 0.1 μF capacitor. The initial voltage on the capacitor is a 15 V drop in the reference direction of the current. Derive the expression for the capacitor voltage for the time intervals in (a)-(d). a) 0 ≤ t ≤ 10 μs; b) 10 μs ≤ t ≤ 20 μs; c) 20 µs ≤ t ≤ 40 μs d) 40 us ≤ t <∞ e) Sketch v(t) over the interval -10 µs ≤ t ≤ 50 µs.

Three identical capacitors are connected in series across a potential source (battery). If a charge of Q flows into this combination of capacitors, how much charge does each capacitor carry? A) 3Q B) Q C) Q/3 D) Q/9

A large capacitance of 1.06 mF is needed for a certain application. (a) Calculate the area the parallel plates of such a capacitor must have if they are separated by 4.98 um of Teflon, which has a dielectric constant of 2.1. (b) What is the maximum voltage that can be applied if the dielectric strength for Teflon is 60 x 106 V/m (c) Find the maximum charge that can be stored. (d) Calculate the volume of Teflon alone in the capacitor.

Assertion : A parallel plate capacitor is connected across battery through a key. A dielectric slab of constant K is introduced between the plates. The energy which is stored becomes K times. Reason: The surface density of charge on the plate remains constant or unchanged.

You have an RC Circuit with a resistor and capacitor. You can't change the resistor, but you can change the capacitor. You need the circuit to take shorter (time) to charge to the maximum value. You will do this by changing the capacitor. In order to decrease the time, you should replace your capacitor with a new capacitor with a lower (smaller) capacitance.

Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of 300 with each other. When suspended in a liquid of density 0.8 gcm-3 the angle remains the same. If density of the material of the sphere is 1.6 gcm-³, the dielectric constant of the liquid is: 4 3 2 1

Two square metallic plates of 1m side are kept 0.01 m apart, like a parallel plate capacitor, in air in such a way that one of their edges is perpendicular to an oil surface in a tank filled with insulating oil. The plates are connected to a battery of emf 500 V. The plates are then lowered vertically into the oil at a speed of 0.001 m/s. Calculate the current drawn from the battery during the process.

You have an RC Circuit hooked up to a battery that you are testing for your company. This consists of a battery, resistor and capacitor all in series. You can assume the battery is ideal (no internal resistance). You need to know how long it takes (time) in order for the capacitor to store 84.9 % of the maximum possible energy for this circuit. The values for the battery, resistor and capacitor are below.

Two parallel metal plates having charges +Q and -Q face each other at a certain distance between them. If the plates are now dipped in kerosene oil tank, the electric field between the plates will : become zero increase decrease remains same

Capacitor A parallel plate capacitor has plates of area 2.5 × 10 m² and plate separation 1.2 × 104 m. Air fills the volume between the plates. What potential difference is required to establish a 4.0 µC charge on the plates?

Two capacitors connected in parallel having the capacities C₁ and C₂ are given 'q' charge, which is distributed among them. The ratio of the charge on C₁ and C2 will be: A. C₁ / C₂ B. C₂ / C₁ C. C₁C₂ D. 1/ C1C₂

You have 3 capacitors in parallel (there values are below) and they are hooked up to a battery of voltage = 14.00 V. They are allowed to reach electrostatic equilibrium. C1 = 88.0 x 10-6 F C2 = 30.0 x 106 F C3 = 38.0 x 10-6 F What is the energy stored on C1? Give your answer in microJoules (J) and with an appropriate number of significant figures.

You have 3 capacitors in series (there values are below) and they are hooked up to a battery of voltage = 6.00 V. They are allowed to reach electrostatic equilibrium. C1 = 64.0 x 10-6 F C2 = 15.0 x 10-6 F C3= 80.0 x 10-6 F What is the energy stored on C3? Give your answer in microJoules (J) and with an appropriate number of significant figures.

You have 3 capacitors in parallel (there values are below) and they are hooked up to a battery of voltage = 5.00 V. They are allowed to reach electrostatic equilibrium. C1 = 79.0 x 10-6 F C2 = 45.0 x 10-6 F C3 = 52.0 x 10-6 F What is the energy stored on C3? Give your answer in microJoules (J) and with an appropriate number of significant figures.

Consider a parallel-plate capacitor with plates of area A and with separation d. Part A Find F (V), the magnitude of the force each plate experiences due to the other plate as a function of V, the potential drop across the capacitor. Express your answer in terms of given quantities and €0. View Available Hint(s)