Question

In: Physics

A 22.0 μF capacitor is charged by a 160.0-V power supply, then disconnected from the power...

A 22.0 μF capacitor is charged by a 160.0-V power supply, then disconnected from the power and connected in series with a 0.240-mH inductor.

Calculate the energy stored in the inductor at t = 1.45 ms .

Expert Solution

If the capacitor is fully charged, the total charge stored in the capacitor initially

And if the power is disconnected from the circuit and the capacitor is connected in series with an inductor, then from the Kirchoff law, the equation for the LC circuit is




where,


And the general solution is

And the current through the circuit is

And given the initial condition

And

And so, the electric charge is

And so,

And so, the energy stored in the inductor at any arbitrary time t is

genius_generous answered 1 year ago

A 7.5–nF capacitor is charged up to 12.0 V, then disconnected from the power supply and...

A 7.5–nF capacitor is charged up to 12.0 V, then disconnected from the power supply and connected in series through a coil. The period of oscillations of the circuit is then measured to be 8.60 X 10^-5 s. (a) Find the inductance of the coil; (b) the maximum charge on the capacitor; (c) the total energy of the circuit; (d) the maximum current in the circuit.

A 14.5-μF capacitor is charged to a potential of 40.0 V and then discharged through a...

A 14.5-μF capacitor is charged to a potential of 40.0 V and then discharged through a 65.0 Ω resistor. 1. How long after discharge begins does it take for the capacitor to lose 90.0% of its initial charge? 2. How long after discharge begins does it take for the capacitor to lose 90.0% of its initial energy? 3. What is the current through the resistor at the time when the capacitor has lost 90.0% of its initial charge? 4. What...

1. An AC power supply is in series with a 30 μF capacitor and a parallel...

1. An AC power supply is in series with a 30 μF capacitor and a parallel structure with a 100 Ω resistor and a 300 mH inductor. The power supply produces electricity at frequency of 60 cycles / second with an RMS voltage of 120.0 V. a) What is the formula (including appropriate units) for function of the voltage of the power supply (w.r.t. time when time is in seconds) assuming the voltage was started at its maximum positive value?...

An AC power supply is in series with a 30 μF capacitor and a parallel structure...

An AC power supply is in series with a 30 μF capacitor and a parallel structure with a 100 Ω resistor and a 300 mH inductor. The power supply produces electricity at frequency of 60 cycles / second with an RMS voltage of 120.0 V. a) What is the formula (including appropriate units) for function of the voltage of the power supply (w.r.t. time when time is in seconds) assuming the voltage was started at its maximum positive value? b)...

Given a 2.00 μF capacitor, a 5.25 μF capacitor, and a 2.50 V battery, find the...

Given a 2.00 μF capacitor, a 5.25 μF capacitor, and a 2.50 V battery, find the charge on each capacitor if you connect them in the following ways. (a) in series across the battery 2.00 μF capacitor μC 5.25 μF capacitor (b) in parallel across the battery 2.00 μF capacitor μC 5.25 μF capacitor

Given a 2.00 μF capacitor, a 5.00 μF capacitor, and a 6.50 V battery, find the...

Given a 2.00 μF capacitor, a 5.00 μF capacitor, and a 6.50 V battery, find the charge on each capacitor if you connect them in the following ways. (a) in series across the battery 2.00 μF capacitor ...μC 5.00 μF capacitor ... μC (b) in parallel across the battery 2.00 μF capacitor ...μC 5.00 μF capacitor ...μC

Problem 3: A capacitor of capacitance C = 2 μF has been charged so that the...

Problem 3: A capacitor of capacitance C = 2 μF has been charged so that the potential difference between its plates is V0 = 85 V. The capacitor is then connected to a resistor of resistance R = 5.5 kΩ. The switch S is closed, and the capacitor begins to discharge. C = 2 μF V0 = 85 V R = 5.5 kΩ Calculate the time constant τ of the circuit in seconds. Calculate the charge Q0 on the capacitor...

A 10.0 μF capacitor initially charged to 30.0 μC is discharged through a 1.80 kΩ resistor....

A 10.0 μF capacitor initially charged to 30.0 μC is discharged through a 1.80 kΩ resistor. How long does it take to reduce the capacitor's charge to 15.0 μC ?

The potential difference across a charged capacitor is 22 V. The capacitor discharges through a fixed...

The potential difference across a charged capacitor is 22 V. The capacitor discharges through a fixed resistor. After a time equal to the time constant, the potential difference has reduced to V. The magnitude of V is:

A capacitor with capacitance 6.00 × 10−5 is charged by connecting it to a 12.0 V...

A capacitor with capacitance 6.00 × 10−5 is charged by connecting it to a 12.0 V battery. The capacitor is disconnected from the battery and connected across an inductor with L=1.50 H. What is the initial energy stored in the capacitor? What are the angular frequency of the electrical oscillations and the period of the oscillations? What is the charge on the capacitor 0.0230 s after the capacitor is connected to the inductor? Interpret the sign of your answer. What...