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Chapter 28: Q. 8 (page 789)
A battery with internal resistance r is connected to a load resistance R. If R is increased, does the terminal voltage of the battery increase, decrease, or stay the same? Explain.
The battery's terminal voltage will rise as the load resistance rises.
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he switch in a closes at and, after a very long time, the capacitor is fully charged. Find expressions for
(a) the total energy supplied by the battery as the capacitor is being charged,
(b) total energy dissipated by the resistor as the capacitor is being charged, and
(c) the energy stored in the capacitor when it is fully charged. Your expressions will be in terms of E, R, and C.
(d) Do your results for parts a to c show that energy is conserved? Explain.
What are the emf and internal resistance of the battery in FIGURE P28.46?
An oscillator circuit is important to many applications. A simple oscillator circuit can be built by adding a neon gas tube to an RC circuit, as shown in . Gas is normally a good insulator, and the resistance of the gas tube is essentially infinite when the light is off. This allows the capacitor to charge. When the capacitor voltage reaches a value Von, the electric field inside the tube becomes strong enough to ionize the neon gas. Visually, the tube lights with an orange glow. Electrically, the ionization of the gas provides a very-low-resistance path through the tube. The capacitor very rapidly (we can think of it as instantaneously) discharges through the tube and the capacitor voltage drops. When the capacitor voltage has dropped to a value , the electric field inside the tube becomes too weak to sustain the ionization and the neon light turns off. The capacitor then starts to charge again. The capacitor voltage oscillates between , when it starts charging, and , when the light comes on to discharge it.
a. Show that the oscillation period is
b. A neon gas tube has . What resistor value should you choose to go with a capacitor and a battery to make a oscillator?
What is the resistance of a hair dryer? What is the current in the hair dryer when it is used?
What is the time constant for the discharge of the capacitors in FIGURE EX28.33?
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