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Homework 8
1.
A loop of wire in the shape of a rectangle has
resistance of 1 ohm. A long and straight wire
carrying a current I lies on tabletop as shown in the
figure. (a) Determine the magnetic flux through the
loop due to the current I. (b) Suppose the current
is changing with time according to I = a + bt, where
a and b are constants. Determine the emf that is
induced in the loop if b = 10.0 A/s, h = 1.00 cm, w
= 10.0 cm and L = 100 cm. What is the induced
current and it direction in the loop? What is the
power transferred from the original current to the
loop?
2.
Two parallel rails with negligible resistance are
10.0 cm apart and are connected by a 5.00 ohm
resister. The circuit also contains two metal rods
have resistances of 10.0 ohm and 15.0 ohm,
sliding along the rails. The rods are pulled away
from the resistor at constant speeds of 4.00 m/s
and 2.00 m/s, respectively. A uniform magnetic
filed of magnitude 0.010 T is applied perpendicular
to the plane of the rails. Determine the power
consumed by the 5.00 ohm resistor.
3.
A uniform magnetic field decreases at a constant
rate dB/dt = -K, where K is a positive constant. A
circular loop of wire of radius a containing a
resistance R and a capacitance C is placed with its
plane normal to the field as shown in the figure. (a)
Find the charge Q on the capacitor when it is fully
charged. (b) Which plate is at the higher potential?
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