Question

practice: ohms law
answer the following question. make sure to show all work to receive credit. you may need a separate sheet of paper

1. what voltage produces a current of 100 amps with a resistance of 50 ohms?
2. a 12 v battery produces a current of 6 amps. what is the resistance?
3. silver has a resistance of 0.0198 ohms. what voltage would produce a current of 250 amps?
4. what is the current produced by a potential difference of 120 volts through a resistance of 0.8 ohms?
5. what resistance would produce a current of 120 amps from a 6 v battery?
6. a current of 310 amps is flowing through a copper wire with a resistance of 30 ohms. what is the voltage?
7. a 9 v battery produces a current of 18 amps. what is the resistance?
8. what resistance would produce a current of 350 amps with a potential difference of 2,500 volts?

Explanation:

Step1: Recall Ohm's Law

Ohm's Law is \(V = IR\), where \(V\) is voltage, \(I\) is current, and \(R\) is resistance.

Step2: Solve for each question

Question 1

Given \(I = 100\) amps and \(R=50\) ohms.
Using \(V = IR\), we substitute the values: \(V=100\times50 = 5000\) volts.

Question 2

Given \(V = 12\) V and \(I = 6\) amps.
From \(V = IR\), we can solve for \(R\) as \(R=\frac{V}{I}\). Substituting values: \(R=\frac{12}{6}=2\) ohms.

Question 3

Given \(I = 250\) amps and \(R = 0.0198\) ohms.
Using \(V = IR\), \(V=250\times0.0198=4.95\) volts.

Question 4

Given \(V = 120\) volts and \(R = 0.8\) ohms.
From \(V = IR\), solve for \(I\) as \(I=\frac{V}{R}\). Substituting values: \(I=\frac{120}{0.8}=150\) amps.

Question 5

Given \(V = 6\) V and \(I = 120\) amps.
Using \(R=\frac{V}{I}\), \(R=\frac{6}{120}=0.05\) ohms.

Question 6

Given \(I = 310\) amps and \(R = 30\) ohms.
Using \(V = IR\), \(V=310\times30 = 9300\) volts.

Question 7

Given \(V = 9\) V and \(I = 18\) amps.
Using \(R=\frac{V}{I}\), \(R=\frac{9}{18}=0.5\) ohms.

Question 8

Given \(V = 2500\) volts and \(I = 350\) amps.
Using \(R=\frac{V}{I}\), \(R=\frac{2500}{350}\approx7.14\) ohms.

Answer:

1. \(5000\) volts
2. \(2\) ohms
3. \(4.95\) volts
4. \(150\) amps
5. \(0.05\) ohms
6. \(9300\) volts
7. \(0.5\) ohms
8. \(\approx7.14\) ohms