Shown below is a circuit with an ideal battery, a linear resistor, and an ideal inductor. This circuit has been connected for a very long time (with the switch open), and you measure the current through the inductor to be \(I_A\text{.}\) At time \(t_1\text{,}\) you close the switch. You then wait a long time and measure the current through the inductor to be \(I_B\text{.}\) Is \(I_B\) greater than, less than, or equal to \(I_A\text{?}\)
Inductors and capacitors can both act as a voltage source in circuits. Compare and contrast inductors and capacitors. When can both elements act as a voltage source? As part of your comparison, include important equations for both circuit elements.
The switch in the circuit above has been closed for a very long time. At the instant you flip the switch to the right, what is the current through the inductor? At the same instant, what is the absolute value of the voltage across the inductor?
A square loop of wire with side length 6 cm and resistance 0.4 \(\Omega\) is in a uniform magnetic field \(B = -0.008t^2\) (in Tesla) that points in the \(z\)-direction (through the loop). Determine the current induced in the loop as a function of time (both magnitude and direction).
A single conducting loop of wire has an area of \(7.40 \times 10^{-2} \ \mathrm{m}^2\) and a resistance of 110 \(\Omega\text{.}\) Perpendicular to the plane of the loop is a magnetic field of strength 0.280 T. At what rate (in T/s) must this field change if the induced current in the loop is to be 0.32 A?
A conductive metal loop is at rest within a uniform magnetic field, as shown above. If the magnetic field strength is then decreased, in which direction does induced current flow in the loop?
The figure shows a circular conductive loop falling away from a long wire that is carrying current to the right, as shown above. What is the direction of the induced current in the loop?
