The current in a 48.1 mH inductor changes with time as I = bt^2 - at. With a = 2.7 A/s and b = 3 A/s^2, find the magnitude of the induced emf at t = .992 s. Units of V

At what time is the emf zero? Units of s

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i = bt^2 - at = 3t^2 - 2.7t
<br>=> di/dt = 6t - 2.7
<br>induced emf ...

1. An inductor is connected to the terminals of a battery that has an emf of 12.0V and negligible internal resistance. The current is 4.86mA at 0.725 ms after the connections is completed. After a long time the current is 6.45 mA. What is
a) The resistance R of the inductor?
b) The inductance L of the inductor?

See attached circuit. Note current source is 2A,Resistors are 2 Ohms, Inductor 2H.
Assume that the switch has been open for a long time and that it closes at t=0 sec. The switch remains closed thereafter. How do I solve for Vx(t) and Ix(t)?

Please see the attached file for full problem description.
1. The voltage across a 5 uF capacitor is v(t) = 10sin(377t) V. What current flows through the capacitor?
2. The current flowing through a 5 F capacitor i(t) = 5e^(-2t) A. Write down the voltage and plot it for seconds. The capacitor is initially uncharged.
3.

Please help with the following problem. Step by step calculations are given.
An L-C circuit consists of a 60.0 mH inductor and 250 µF capacitor. The initial Charge in the capacitor is 6.00 µC and initial current in the inductor is zero.
a) What is the maximum voltage across the capacitor?
b) What is the maximum current

(See attached file for full problem description)
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Problem 2. Current through 1uF capacitor is given as i(t) = 4 cos (wt) where w corresponds to the frequency of 1 MHz. What is the expression for the voltage on the capacitor?
Problem 3. The same current i(t) = 4 cos (wt), at the frequency of 1 MHz, is flowing through

Consider a circuit in which a capacitor and an inductor are connected in parallel to an AC source. Which of the following statements about the magnitude of the current through the voltage source is true?
It is always larger than the sum of the magnitudes of the currents in the capacitor and inductor.
It is always less t

Please answer #4 only. See attached file for full problem description.
Problem 10.4
In the following circuit, the voltage source is turned on at t =0.
The current flowing in the inductor is given by
a) find the coefficients A and B.
b) Find L, R< and v0.

** Please see the attachment for the figure **
The current in a 4.20 mH-inductor varies in time as shown in the figure below. Construct a graph of the self-induced emf across the inductor over the time interval t = 0 to t = 12.0 ms.

Just before the switch is opened at t=0, the current through the inductor is 1.70 mA in the direction shown in figure (PLEASE SEE ATTACHMENT). Did steady-state conditions exist just before the switch was opened?
L = 0.9 mH;
R1 = 6k Ohm;
R2 = 6k Ohm;
R3 = 3k Ohm;
Vs = 12V

The circuit is in steady state. Based on the circuit elements shown, write an expression for the current through the inductor after the switch is thrown from position 1 to position 2. The circuit is a 30 Volt circuit, located on the left vertical side, followed on by a 6 ohm resistor, then the switch on the top horizontal line,