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1)The three resistors in the attached figure are R
1
= 2 , R
2
= 4 and R
3
= 8 . The two emfs are
E
1
= 6 V and
E
2
=
V. What is the current (to 2 decimal places) through resistor R2?
2)An emergency flasher is built by connecting a 4 microF capacitor in series with a 25,000 ohm resistor and a
V battery. A neon lamp is connected in parallel with the capacitor. The neon lamp has a very high resistance until the voltage across it reaches 70 V, it then fires and its resistance drops almost instantaneously to zero totally discharging the capacitor. It then ceases to conduct until once again the voltage reaches 70 V when it fires again and the cycle keeps repeating itself. Determine the frequency (to the nearest tenth of a hertz) at which the light will blink in the above circuit.
3) A 10 V battery is connected across a circuit with two 10 ohm resistors in series, paralleled by a
ohm resistor. To the nearest hundredth of an amp what is the current from the battery?
4) You have four batteries with voltages of +1.54, -1.36, -3.00, and
V. What is their effective emf (to the nearest tenth of a volt) when connected in series?
5) A 12 V battery is hooked up across 3 parallel resistors with resistances of R=
, 2*R, 4*R. What is the current (to the nearest tenth of a amp) through the lowest value resistance?
6) In the previous problem what is the current drawn from the battery?
7) A battery with an emf of 12.0 V shows a terminal voltage of 11.8 V when operating in a circuit with three
watt light bulbs connected in parallel with it. What is the battery's internal resistance in units of ohms (to 3 decimal places)?
8) A
pF variable capacitor is connected in series with an unknown capacitor, and as a series combination they are connected to a battery with an emf of 25.0 V. If the variable capacitor stores 125 pC of charge on its plates, what is the unknown capacitance to the nearest tenth of a picofarad?
9) A capacitor of 2 micro farads, a battery of 6 volts and a resistor of 5x10
6
ohms, are to be wired in series. What will be the voltage (to the nearest hundredth of a volt) across the capacitor in
seconds after the circuit is completed?
10) What is the current (to the nearest thousandth of an amp) through R2 in the figure , where V1 =
volts, V2 = 5 volts, R1 = 5 ohm, R2 = 10 ohm, R3 = 10 ohm.