What is the equivalent resistance and capacitance?

1. A 100 ohm resistor is joined in parallel with a 47 ohm resistor. What is the equivalent resistance?

2. Three capacitors of 2.0, 5.0, and 20 microF are joing together in parallel. What is their equaivalent capacitance?

3. Three capacitors of 1.0, 1.5, and 5.0 uF are joined together in series. What is their equivalent capacitance?

4. A single household circuit operates at 120V and is protected by a 15-A circuit breaker. How many 60-W lamps can be operated at the simultaneously without tripping the circuit breaker?

5. An elevator in a 20-story building is used to raise a 7200-N load 50 m. How much will it cost to raise the load if electricity costs $0.078/kWh? Assume that the elevator system is 50% efficient - that is, that the energy expended in raising the load is half of the total energy consumed.

2.
C1 = 2.0 microF
C2 = 5.0 microF
C3 = 20 microF
Because in parallel the equivalent capacitor is the sum all the capacitances,
C|| = C1 + C2 + C3 = 2.0+5.0+20 = 27.0 micro ...

Solution Summary

Solution provides calculations and answers for questions 1-5.

Two capacitors are connected in parallel. If a third capacitor is connected in parallel with the other two, does theequivalent capacitance increase, decrease, or remain the same? Explain.

If a capacitor with a capacitance of 0.000005 farads is wired in a circuit with a total resistance of 5000 ohms (the standard unit of electrical resistance), how long must the capacitor be wired to a source voltage to reach 50% of its maximum charge?
(The Hint was: Begin by expressing q as 0.5Q)

You have three capacitors, of capacitance 1610pF, 7240pF and 0.0270 micro F. What is the maximum capacitance that you can form from these? What is the minimum capacitance that you can form from these?

In a heart pacemaker, a pulse is delivered to the heart 81 times per minute. The capacitor that controls this pulsing rate discharges through a resistance of 1.8e6 ohms. One pulse is delivered every time the fully charged capacitor loses 62.9 % of its original charge. What is the capacitance of the capacitor? Answer in farads.

A resistor, R, was connected to a circuit box as shown. The voltage, V, was measured. The resistor was changed andthe voltage was measured again. The results are shown in the table. Determine theThevenin equivalentresistance (Rt) of the circuit within the box.
See attached file for full problem description.

Hi. Can someone please walk me through how to do the following problem?
Question: A radio tuning circuit contains an RLC circuit with R=5.0 ohms and L=2.8 micro-H.
(a) What capacitance is needed to produce a resonance frequency of 95 MHz?
(b) If the capacitance is increased above the value found in part (a), will the imped