Absolutely! Let's solve each of these Ohm’s Law practice problems step by step.
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Ohm’s Law Formula:
>
V = I × R
Where:
-
V = Voltage (in volts, V)
-
I = Current (in amperes, A)
-
R = Resistance (in ohms, Ω)
We can rearrange the formula as needed:
-
I = V / R
-
R = V / I
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Problem 1:
> What is the voltage if a resistance of 25 Ω produces a current of 250 amperes?
Given:
- R = 25 Ω
- I = 250 A
Use: V = I × R
→ V = 250 A × 25 Ω
→
V = 6,250 V
✔ Answer: 6,250 volts
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Problem 2:
> What is the current produced by a voltage of 240 V through a resistance of 0.2 Ω?
Given:
- V = 240 V
- R = 0.2 Ω
Use: I = V / R
→ I = 240 V / 0.2 Ω
→
I = 1,200 A
✔ Answer: 1,200 amperes
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Problem 3:
> What voltage is necessary to produce a current of 200 amperes through a resistance of 100 Ω?
Given:
- I = 200 A
- R = 100 Ω
Use: V = I × R
→ V = 200 A × 100 Ω
→
V = 20,000 V
✔ Answer: 20,000 volts
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Problem 4:
> What resistance would produce a current of 120 amps from a 6-V battery?
Given:
- V = 6 V
- I = 120 A
Use: R = V / I
→ R = 6 V / 120 A
→
R = 0.05 Ω
✔ Answer: 0.05 ohms
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Problem 5:
> What is the current produced by a 9-V battery flowing through a resistance of 200 Ω?
Given:
- V = 9 V
- R = 200 Ω
Use: I = V / R
→ I = 9 V / 200 Ω
→
I = 0.045 A
✔ Answer: 0.045 amperes (or 45 mA)
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Problem 6:
> What voltage produces a current of 500 amps with a resistance of 50 Ω?
Given:
- I = 500 A
- R = 50 Ω
Use: V = I × R
→ V = 500 A × 50 Ω
→
V = 25,000 V
✔ Answer: 25,000 volts
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Problem 7:
> What resistance would produce a current of 200 amps with a voltage of 2,000 V?
Given:
- V = 2,000 V
- I = 200 A
Use: R = V / I
→ R = 2,000 V / 200 A
→
R = 10 Ω
✔ Answer: 10 ohms
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Problem 8:
> What is the current produced with a 9-V battery through a resistance of 100 Ω?
Given:
- V = 9 V
- R = 100 Ω
Use: I = V / R
→ I = 9 V / 100 Ω
→
I = 0.09 A
✔ Answer: 0.09 amperes (or 90 mA)
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##
✔ Final Answers Summary:
1.
6,250 V
2.
1,200 A
3.
20,000 V
4.
0.05 Ω
5.
0.045 A
6.
25,000 V
7.
10 Ω
8.
0.09 A
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Let me know if you’d like these explained visually or with circuit diagrams!
Parent Tip: Review the logic above to help your child master the concept of ohms law worksheet.