Download Electric Potential - McMaster Physics & Astronomy Outreach

Review 2
Example1:
The following four charges are located inside a submarine: 5.00 μC,
–9.00 μC, 27.0 μC, and –84.0 μC.
a) Calculate the net electric flux through the hull of the submarine.
b) Is the number of electric field lines leaving the submarine greater than,
equal to, or less than the number entering it?
Solution
Example2:
Consider a long cylindrical charge distribution of radius R with a
uniform charge density ρ. Find the electric field at distance r from the
axis where r < R.
Solution
Example3:
Two conducting spheres with diameters of 0.400 m and 1.00 m are
separated by a distance that is large compared with the diameters. The
spheres are connected by a thin wire and are charged to 7.00 μC.
a) How is this total charge shared between the spheres? (Ignore any
charge on the wire.)
b) What is the potential of the system of spheres when the reference
potential is taken to be V = 0 at r = ∞?
Solution
Example4:
Determine:
a) the capacitance and
b) the maximum potential difference that can be applied to a Teflon-filled
parallel-plate capacitor having a plate area of 1.75 cm2 and plate
separation of 0.040 0 mm.
Solution
Example5:
An electric current is given by the expression I(t) = 100 sin(120πt),
where I is in amperes and t is in seconds. What is the total charge carried
by the current from t = 0 to t = (1/240) s?
Solution
Example6:
A conducting rod of length ℓ moves with velocity v parallel to a long
wire carrying a steady current I. The axis of the rod is maintained
perpendicular to the wire with the near end a distance r away, as shown
below. Find the magnitude of the emf induced in the rod.
Solution
Example7:
Consider an LC circuit in which L = 500 mH and C = 0.100 μF.
a) What is the resonance frequency ω0?
b) If a resistance of 1.00 kΩ is introduced into this circuit, what is the
frequency of the (damped) oscillations?
Solution