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The potential at a point due to a charge of 5×10−7C located 10cm10cm away is
- a)3.5 × 105V
- b)3.5 × 104V
- c)4.5 × 104V
- d)4.5 × 105V
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The potential at a point due to a charge of 5×10−7C locate...
Here, q = 5 × 10(−7) C, r = 10 cm = 0.1 m
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The potential at a point due to a charge of 5×10−7C locate...
Understanding Electric Potential
Electric potential (V) at a distance (r) from a point charge (Q) is given by the formula:
V = k * Q / r
where:
- k is Coulomb's constant (approximately 8.99 × 10^9 Nm²/C²)
- Q is the charge in coulombs
- r is the distance in meters
Given Data
- Charge (Q) = 5 × 10^-7 C
- Distance (r) = 10 cm = 0.1 m
Calculating the Electric Potential
1. Convert Distance to Meters:
- 10 cm = 0.1 m
2. Substituting Values in the Formula:
- V = (8.99 × 10^9 Nm²/C²) * (5 × 10^-7 C) / (0.1 m)
3. Performing the Calculation:
- V = (8.99 × 10^9) * (5 × 10^-7) / 0.1
- V = (8.99 * 5) × 10^2
- V = 44.95 × 10^2
- V = 4.495 × 10^3 V
- Therefore, rounding gives approximately 4.5 × 10^4 V.
Conclusion
The potential at the point due to the charge is approximately:
- 4.5 × 10^4 V
Thus, the correct answer is option 'C'.
Electric potential (V) at a distance (r) from a point charge (Q) is given by the formula:
V = k * Q / r
where:
- k is Coulomb's constant (approximately 8.99 × 10^9 Nm²/C²)
- Q is the charge in coulombs
- r is the distance in meters
Given Data
- Charge (Q) = 5 × 10^-7 C
- Distance (r) = 10 cm = 0.1 m
Calculating the Electric Potential
1. Convert Distance to Meters:
- 10 cm = 0.1 m
2. Substituting Values in the Formula:
- V = (8.99 × 10^9 Nm²/C²) * (5 × 10^-7 C) / (0.1 m)
3. Performing the Calculation:
- V = (8.99 × 10^9) * (5 × 10^-7) / 0.1
- V = (8.99 * 5) × 10^2
- V = 44.95 × 10^2
- V = 4.495 × 10^3 V
- Therefore, rounding gives approximately 4.5 × 10^4 V.
Conclusion
The potential at the point due to the charge is approximately:
- 4.5 × 10^4 V
Thus, the correct answer is option 'C'.
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The potential at a point due to a charge of 5×10−7C located 10cm10cm away isa)3.5 × 105Vb)3.5 × 104Vc)4.5 × 104Vd)4.5 × 105VCorrect answer is option 'C'. Can you explain this answer?
Question Description
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