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Chapter 30: Q. 10 (page 869)
10. An inductor with a current stores energy. At what current will the stored energy be twice as large?
The stored energy will be twice the initial store energy at 2.8 A current.
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What is the magnetic flux through the loop shown in FIGURE EX30.4?
I Electricity is distributed from electrical substations to neighborhoods at 15,000 V. This is a oscillating voltage. Neighborhood transformers, seen on utility poles, step this voltage down to the that is delivered to your house.
a. How many turns does the primary coil on the transformer have if the secondary coil has 100 turns?
b. No energy is lost in an ideal transformer, so the output power from the secondary coil equals the input power to the primary coil. Suppose a neighborhood transformer delivers at. What is the current in the line from the substation?
86. III High-frequency signals are often transmitted along a coaxial CALC cable, such as the one shown in FIGURE CP30.86. For example, the cable TV hookup coming into your home is a coaxial cable. The signal is carried on a wire of radius while the outer conductor of radius is grounded. A soft, flexible insulating material fills the space between them, and an insulating plastic coating goes around the outside.
a. Find an expression for the inductance per meter of a coaxial cable. To do so, consider the flux through a rectangle of length that spans the gap between the inner and outer conductors.
b. Evaluate the inductance per meter of a cable having and .
A cmcm square loop of wire lies in the -plane with its bottom edge on the -axis. The resistance of the loop is. A magnetic field parallel to the -axis is given by, where is in tesla, in meters, and in seconds. What is the size of the induced current in the loop at ?
FIGURE P30.47 shows a 1.0-cm-diameter loop with inside a 2.0-cm-diameter solenoid. The solenoid is 8.0cm long, has 120 turns, and carries the current shown in the graph. A positive current is when seen from the left. Determine the current in the loop at
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