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The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor?
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The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to...
GIVEN:
CHARGE ON THE METALLIC SPHERE Q = 4 *10-6 C
RADIUS OF THE SPHERE r = 9 cm = 0.09 m
potential energy of charge on the conductor is given by the relation
E=KQ/r
=9 INTO 10 TO THE POWER OF 9 INTO 4 INTO 10 TO THE POWER OF MINUS 6 / 0.09
=4 into 10 to the power 5 joule
POTENTIAL ENERGY OF CHARGE ON THE CONDUCTOR IS 4 INTO 10 TO THE POWER OF 5 JOULE
CHARGE ON THE METALLIC SPHERE Q = 4 *10-6 C
RADIUS OF THE SPHERE r = 9 cm = 0.09 m
potential energy of charge on the conductor is given by the relation
E=KQ/r
=9 INTO 10 TO THE POWER OF 9 INTO 4 INTO 10 TO THE POWER OF MINUS 6 / 0.09
=4 into 10 to the power 5 joule
POTENTIAL ENERGY OF CHARGE ON THE CONDUCTOR IS 4 INTO 10 TO THE POWER OF 5 JOULE
Community Answer
The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to...
To calculate the potential energy of a charge on a conductor, we need to consider the formula:
Potential Energy (PE) = Q * V
Where:
- PE is the potential energy
- Q is the charge on the conductor
- V is the potential difference across the conductor
In this case, the charge on the metallic sphere is given as 4 * 10^-6 coulomb. However, the potential difference across the conductor is not provided. Hence, we need to find the potential difference using the formula:
V = k * (Q / r)
Where:
- V is the potential difference
- k is the electrostatic constant (9 * 10^9 Nm²/C²)
- Q is the charge on the conductor
- r is the radius of the conductor
Using the given values, we can substitute them into the formula to find the potential difference:
V = (9 * 10^9 Nm²/C²) * (4 * 10^-6 C) / (9 cm)
- Convert the radius from centimeters to meters: 9 cm = 0.09 m
- Calculate the potential difference:
V = (9 * 10^9 Nm²/C²) * (4 * 10^-6 C) / (0.09 m)
= (9 * 10^9 * 4 * 10^-6) / 0.09
= (36 * 10^3) / 0.09
= 400 * 10^3 V
= 4 * 10^5 V
Now that we have the potential difference, we can calculate the potential energy using the formula mentioned earlier:
PE = Q * V
= (4 * 10^-6 C) * (4 * 10^5 V)
= 16 * 10^-6 * 10^5 C * V
= 16 * 10^-1 C * V
= 16 * 10^4 CV
= 1.6 * 10^4 CV
Hence, the potential energy of the charge on the conductor is 1.6 * 10^4 CV.
Potential Energy (PE) = Q * V
Where:
- PE is the potential energy
- Q is the charge on the conductor
- V is the potential difference across the conductor
In this case, the charge on the metallic sphere is given as 4 * 10^-6 coulomb. However, the potential difference across the conductor is not provided. Hence, we need to find the potential difference using the formula:
V = k * (Q / r)
Where:
- V is the potential difference
- k is the electrostatic constant (9 * 10^9 Nm²/C²)
- Q is the charge on the conductor
- r is the radius of the conductor
Using the given values, we can substitute them into the formula to find the potential difference:
V = (9 * 10^9 Nm²/C²) * (4 * 10^-6 C) / (9 cm)
- Convert the radius from centimeters to meters: 9 cm = 0.09 m
- Calculate the potential difference:
V = (9 * 10^9 Nm²/C²) * (4 * 10^-6 C) / (0.09 m)
= (9 * 10^9 * 4 * 10^-6) / 0.09
= (36 * 10^3) / 0.09
= 400 * 10^3 V
= 4 * 10^5 V
Now that we have the potential difference, we can calculate the potential energy using the formula mentioned earlier:
PE = Q * V
= (4 * 10^-6 C) * (4 * 10^5 V)
= 16 * 10^-6 * 10^5 C * V
= 16 * 10^-1 C * V
= 16 * 10^4 CV
= 1.6 * 10^4 CV
Hence, the potential energy of the charge on the conductor is 1.6 * 10^4 CV.
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The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor?
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The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor?.
The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The charge on a metallic sphere of radius 9 centimetre is 4 into 10 to the power minus 6 coulomb calculate the potential energy of charge on the conductor?.
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