These questions are primarily related to Capacitance, Electric Current, Resistors in Series and Parallel. These topics are covered in detail here:

**Determine the voltage when 500 J of energy is used to move 10 C of charge.**

V= W/C = 500 J/10 C = 50 V

**A certain voltage sine wave goes through 5000 cycles in 2 seconds. Determine the frequency.**

f = 5000 cycles/2 sec = 2500 cycles/s = 2500 Hz

**The frequency of the ac utility voltage is 60 Hz. What is the period?**

T = 1/f = 1/60 Hz = 0.0167 sec = 16.7 ms

**Determine the current when 50 coulombs of charge move past a point in 0.5 seconds.**

I = Q/t = 50 C/0.5 s = 100 A

**What is the equivalent dc voltage for 50 V rms,**

V_{dc} = 50 V

**Find the resistance of 50 feet of 14 gauge wire.**

R = 50 ft x 2.525 Q/1000 ft = 0.126 Q

**Calculate the voltage across a 10 Q resistor if the current is 1.5 A.**

V= IR = (10 Q)(1.5 A) = 15 V

**Calculate the current through a 33 Q resistor if there is 12 V across it.**

I = V/R = 12 V/33 W = 0.364 A

**Calculate the resistance if V = 24 V and I = 1.2 A.**

R = V/I = 24 V/1.2 A = 20 Q

**How much energy is dissipated when a 100 W light bulb is on for 24 hours?**

W = Pt = (100 W) 24 h = 2400 Wh

**Determine the power in each of the resistances in Problems 7, 8, and 9.**

P = I^{2}R = (1.5 A)^{2}10 Q = 22.5 W

P = V^{2}/R = (12 V)^{ 2}/33 Q = 4.36 W

P = VI = (24 V) (1.2 A) = 28.8 W

**Find the total resistance for the following resistors in series: 10 Q, 47 Q, 75 Q, and 100 Q.**

R_{TOT} = 10 Q + 47 Q + 75 Q + 100 Q = 232 Q

**If the resistors in Problem 12 are connected in parallel, what is the total resistance?**

R_{tot} = 1/ (1/10 Q + 1/47 Q + 1/75 Q + 1/100 Q) = 6.92 Q

**Assume a solar cell produces 0.5 V at peak sunlight. If a total of 12 V needed, what is the minimum number of solar cells required and how must they be connected?**

Number of cells = 12 V/0.5 V/cell = 24 cells connected in series.

**How would you triple the current capacity of the solar cell array in Problem 14, keeping the same voltage?**

To triple the current, connect in parallel three groups of 24 series-connected cells.

**Determine the energy stored by a 10 F capacitor with 24 V across it.**

W = (1/2)CV^{2} = (1/2)(10 F)(24 V)^{2} = 2880 J

**Determine the power dissipated if 25 V is measured across a 100 Q resistance.**

P = V^{2}/R = (25 V)^{2}/100 Q = 6.25 W

**What is the ampacity of an AWG 6 copper wire?**

Ampacity = maximum current = 37 A

**Find the resistance for 500 ft. of an AWG 18 copper wire.**

R = (500 ft) (6.385 Q/1000 ft) = 3.19 Q

**Determine the minimum fuse rating required for an electric heater that operates on 120 V and the power in the heater is 1200 W.**

I = P/V = 1200 Q/120 V = 10 A minimum fuse rating