Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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A 24-V battery is connected in series with a resistor and aninductor, with R = 8.0 Ω and L = 4.0 H, respectively. Find theenergy stored in the inductor (a) when the current reaches itsmaximum value and (b) one time constant after the switch isclosed.
When the current through a large inductor is interrupted with a switch, an arc appears across the open terminals of the switch. Explain.
The self-inductance of a solenoid increases under which of the following conditions?
Chapter 28 Solutions
Physics for Scientists and Engineers
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- Suppose that a cylindrical solenoid is wrapped around a core of iron whose magnetic susceptibility is x. Using Equation 14.9, show that the self-inductance of the solenoid is given by L=(l+x)+0n2Al where l is its length, A its cross-sectional area and N its total number of turns. Nm=Uarrow_forwardCheck Your Understanding How much energy is stored in the inductor of Example 14.2 after the current reaches its maximum value?arrow_forwardIn the simple RL circuit of Figure 14.12(b), can the emf induced across the inductor ever be greater than the emf of the battery used to produce the current?arrow_forward
- Suppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the current flowing through a rectangular toroid when the energy in its magnetic field is 2.0 × 10-6 J?arrow_forwardWhen the current through a large inductor is interrupted with a switch, an are appears across the open terminals of the switch. Explain.arrow_forwardIf emf of the battery of Figure 14.12(b) is reduced by a factor of 2, by how much does the steady-state energy stored in the magnetic field of the inductor change?arrow_forward
- In Figure 14.12, =12V , L = 20 mH, and R=5.0. Determine (a) the time constant of the circuit, (b) the initial current through the resistor, (C) the final current through the resistor, (d) the current through the resistor when t=2L , and (e) the voltages across the inductor and the resistor when t=2L .arrow_forwardIn an oscillating LC circuit the maximum charge on the capacitor is 2.0 × 10-6 C and the maximum current through the inductor is 8.0 mA. (a) What is the period of the oscillations? (b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?arrow_forwardSuppose that a rectangular toroid has 2000 windings and a self-inductance of 0.040 H. If h = 0.10 m, what is the ratio of its outer radius to its inner radius?arrow_forward
- Show that for the circuit shown below, the initial energy stored in the inductor, LI2(0)/2 , is equal to the total energy eventually dissipated in the resistor 0I2(t)Rdt.arrow_forwardWhen a camera uses a flash, a fully charged capacitor discharges through an inductor. In what time must the 0.100-A current through a 2.00-mH inductor be switched on or off to induce a 500-V emf?arrow_forwardAn inductor is connected across the terminals of a battery. Does the current stance of the battery? Does the time required for the current to reach its final value depend on this resistance?arrow_forward
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