Electricity, Magnetism and Waves - Study Problems

STUDY PROBLEMS 1) The drawing shows a crystalline slab (n = 1.402) with a rectangular cross section. A ray of light strikes the slab at an incident angle of θ1 = 44°, enters the slab, and travels to point P. This slab is surrounded by a fluid with a refractive index n. What is the maximum value of n such that total inter ...continues

Current Flowing Through a Membrane

"A typical cell membrane is 8.0 nm thick and has an electrical resistivity of 1.3 x 10^7 ohm x meters. If the potential difference between the inner and outer surfaces of a cell membrane is 75 mV, how much current flows through a square area of membrane 1.1 micro meters on a side?" Here's what I did -- I'm not sure what I did ...continues

Solenoid

"To construct a solenoid, you wrap insulated wire uniformly around a plastic tube 12 cm in diameter and 55 cm in length. You would like a 2.0 A current to produce a 2.3 kG magnetic field inside your solenoid. What is the total length of wire you will need to meet these specifications?" Here's what I've done so far: 2.3 kG ...continues

Magnitude and Direction of Net Force on Loop

A long straight wire carries a current of 31 A to the right. Next to the wire is a square loop with sides 1.0 m in length, as shown in the figure below. The loop carries a current of 2.7 A in the direction indicated. 1. Calculate the magnitude and direction of the net force acting on the loop. 2. If the loop is extended in ...continues

2 parallel wires, magnitude and direction of magnetic field

"Two parallel wires, each carrying a current of I = 1.8 A, are shown in the figure below, where d = 7.1 cm. The current in wire 1 is in the opposite direction of wire 2. Find the direction and magnitude of the net magnetic field at points A, B, and C." Please see attached for full question.

Megnetic effect of electric current: Field due to 4 wires.

"Consider the four current-carrying wires described in the figure below. Each of these wires is long and straight, and carries the current I either into or out of the page, as shown." What is the direction of the net magnetic field produced by these four wires at the center of the square? Please see attached for diagram.

Kirchoff's Rules

Consider the group of resistors shown in Figure 21-37, where R1 = 4.0ohms and E= 9.1 V. Find the current in each resistor. And determine the potential difference between points A and B. Please see attached for diagram.

Capacitors

Consider a group of capacitors, where C1=14 µF and C2=6.8 µF. Terminals A and B are connected to a 9.0 V battery. Find the energy stored in each capacitor. 14 µF capacitor : 6.8 µF capacitor : 22 µF capacitor: Please see attached for diagram.

Current Flowing Through a Battery

In the figure below, R1 = 19ohms and R2 = 6.3ohms. What is the current flowing through the battery immediately after the switch is closed, and what is it long after the switch is closed? Pleases see attached for diagram.

Resistors and Batteries

If points A and B in the figure below are connected to a 10 V battery, what is the power dissipated in each of the resistors assuming that R = 65 ohms. 12 ohms resistor : 55 ohms resistor : 65 ohms resistor : Please see attached for diagram.