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.

...resistors are connected in parallel, the equivalent resistance of the ... the resistors below has a resistance of 2.4 ... plate air capacitor has a capacitance of 920 ...

...Capacitance C = Aε0/d = (Пx0.12)x8.85x10-12/10-3 = 0.278 x 10-9 F. Charge Q = CV = 0.278 x 10-9 x 12 = 3.33 x 10-9 C. 17. Let equivalent resistance of the left ...

... their equivalent resistance, R R = 2*4/(2+4) = 4/3 k.ohm = (4/3)*10^(3) ohm 3.0 and 6.0 µF capacitors are in series, therefore their equivalent capacitance, C ...

... 2 ohms 3. What is the energy stored in a 10 F capacitor at t = 4 seconds if v(t) = 2 + 3t ? ... What is the equivalent resistance of the branch? ...

... and the series combination of capacitor and resistor ... I = Battery potential/Total resistance = 6/1012 ... To determine the equivalent resistance (Thevenin resistance...

... values: XC = 1/j(2Пx60x100x10-3) = 1/j37.7 ohm Let equivalent impedance of the parallel combination of the resistance and capacitance be Z. Then, 1/Z = 1/R1 ...

... Vi Vf (5.4) r Which in our case the potential across the capacitor becomes. ... in series to R1 so the power source "sees" an equivalent resistance of: ...

... resonance, we will have obtain the equivalent parallel resistance. ... The resistance of the coil can now be solved ... The capacitance can also be solved: (please see ...

... Hence, current through the capacitor is zero. 2. Thevenin equivalent across given terminals of a circuit is the resistance across the terminals with the ...