Transcript Electric Potential - McMaster Physics and Astronomy

Review 1
Example1:
Three point charges are arranged as shown.
a) Find the vector electric field that the 6.00-nC and –3.00-nC charges
together create at the origin.
b) Find the vector force on the 5.00-nC charge.
Solution
Example2:
Two point charges each of magnitude 2.00 μC are located on the x axis.
One is at x = 1.00 m, and the other is at x = -1.00 m.
a) Determine the electric potential on the y axis at y = 0.500 m.
b) Calculate the change in electric potential energy of the system as a
third charge of –3.00 μC is brought from infinitely far away to a position
on the y axis at y = 0.500 m.
Solution
Example3:
Consider a series RC circuit for which R = 1.00 MΩ, C = 5.00 μF, and ε
= 30.0 V. Find
a) the time constant of the circuit and
b) the maximum charge on the capacitor after the switch is closed.
c) Find the current in the resistor 10.0 s after the switch is closed.
Solution
Example4:
A rectangular coil consists of N =100 closely wrapped turns and has
dimensions a=0.400m and b=0.300m. The coil is hinged along the y axis,
and its plane makes an angle θ=30.0° with the x axis. What is the
magnitude of the torque exerted on the coil by a uniform magnetic field
B=0.800 T directed along the x axis when the current is I=1.20 A in the
direction shown? What is the expected direction of rotation of the coil?
Solution
Example5:
Two long, parallel conductors carry currents I1 = 3.00 A and I2 = 3.00 A,
both directed into the page in figure below. Determine the magnitude and
direction of the resultant magnetic field at P.
Solution
Example6:
A circular loop of wire of radius r is in a uniform magnetic field, with the
plane of the loop perpendicular to the direction of the field. The
magnetic field varies with time according to B(t) = a + bt, where a and b
are constants.
a) Calculate the magnetic flux through the loop at t = 0.
b) Calculate the emf induced in the loop.
c) If the resistance of the loop is R, what is the induced current?
d) At what rate is energy being delivered to the resistance of the loop?
Solution
Example7:
An inductor that has an inductance of 15.0 H and a resistance of 30.0 Ω
is connected across a 100-V battery. What is the rate of increase of the
current
a) at t = 0 and
b) at t = 1.50 s?
Solution