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An LC circuit is composed of a 100.0 mH inductor and a 4.0 µF capacitor. If the capacitor can
have a maximum charge of 3.0 µC on its plates,
(a) what is the total energy in the circuit in Joules (J)?
(b) what is the angular frequency of oscillations in the circuit in rads/sec?
(c) what is the maximum current in the circuit in Amperes (A)?
A unicycle has 200 turns of thin wire wrapped around its rim, creating loops with the same
diameter as the wheel. An emf of 9V is induced when the wheel is perpendicular to a magnetic
field that steadily decreases from 0.68 T to 0.24 T in 10 seconds. What is the radius of the
wheel?
A Ferris wheel that can carry almost 100 people has a diameter of 20.0 m. If possible, we
created an electromagnet with 100 coils that can produce a field of an average strength of 0.
90 T parallel to the axis of the wheel. If the field steadily decreases to zero to produce an
induced emf is 50 V, what is the time needed for this induction to happen?
The SkyDome in Toronto, Canada has one of the world’s largest retractable roof. Its area is
32, 000 m2
, and it takes 20 min for the roof to fully retract. If you have a coil wired through the
roof, how many turns do you need to wind up your coil for you to generate an induced emf of
120 V? Assume that a uniform magnetic field with a strength of 3.0 x 10-2 T passes through
the coil parallel to its axis.
A dielectric material of relative dielectric constant 6 is now inserted and completely fills the space between the plate capacitor.Calculate the new chargee
A square loop of wire of side L= 5.0 cm is in a uniform magnetic field B = 0.16 T. What is the magnetic flux in the loop (a) when the magnetic field B is perpendicular to the face of the loop and (b) when B is at an angle of 30° to the area of the loop? (c) What is the magnitude of the average current in the loop if it has a resistance of 0.012Ω and it is rotated from position (b) to position (a) in 0.14 s?
A wire carrying a steady (DC) 30-A current has length L =12 cm between the pole faces of a magnet. The wire is at angle ϴ=600 to the field. The magnetic field is approximately uniform at 0.90 T. We ignore the field beyond the pole pieces. Determine the magnitude and direction of the magnetic force on the wire.
A magnetic field exerts a force of 8.0 x 10–14 N toward the west on a proton moving vertically upward at a speed of 5.0 x 106 m/s. When moving straight in a northerly direction, the force on the proton is zero. Determine the magnitude and direction of the magnetic field B in this region. (The charge of a proton = 1.6 x 10-19 C).
A plano-concave lens is made of glass which has a refractive index of 1.5. One surface is flat, and the concave surface has a radius of curvature of 25 cm. determine the focal length of this lens.
A 200 Ω
Ω resistor, a 700 mH inductor and an 6.00 μ
μF capacitor are connected in series with a 240 V, and 60.0 Hz, AC source. Calculate the power factor.
