Sebuah bola konduktor berongga diberi muatan sebesar -400 mu C. Apabila diameter bola tersebut 20...

Summary

The script explains how to calculate the electric potential and work done in the case of a charged conducting spherical shell. It begins by outlining the given values, including the charge (Q = -400 μC) and the radius (R = 0.1 m), followed by the electric potentials at points A and B. The electric potential at point A inside the sphere is calculated to be -3.6 × 10^7 V, while at point B, it is -1.2 × 10^7 V. The work required to move a charge (q = -200 μC) from point B to point A is found to be 4.8 × 10^3 J. The solution demonstrates the use of key electrostatic formulas and concepts to solve the problem.

Takeaways

• 😀 The problem involves a hollow conducting sphere with a charge of -400 µC and a diameter of 20 cm.
• 😀 The Coulomb constant (k) is given as 9 × 10^9 Nm²/C².
• 😀 The distance from the center to point A is 0.08 m, which places it inside the conducting sphere.
• 😀 The distance from the surface of the sphere to point B is 0.3 m, making the total distance from the center to point B 0.4 m.
• 😀 The electric potential at point A is calculated using the formula V = k * q / r, where r is the radius of the sphere.
• 😀 The electric potential at point B is calculated using the same formula, but with the distance from the center to point B (r_B = R + X_B).
• 😀 The electric potential at point A, Va, is found to be -3.6 × 10^7 volts.
• 😀 The electric potential at point B, Vb, is -1.2 × 10^7 volts.
• 😀 To move a charge from point B to point A, the work required is given by W = q' * (Va - Vb).
• 😀 The work required to move a charge of -200 µC from point B to point A is calculated to be 4.8 Joules.
• 😀 The process highlights the importance of understanding the relationships between charge, distance, and electric potential in electrostatics.

Q & A

What is the charge (Q) given to the conductor in the problem?

The charge given to the conductor is Q = -400 microCoulombs, which is equal to -400 × 10^-6 Coulombs.

What is the diameter of the spherical conductor, and how is it converted to meters?

The diameter of the spherical conductor is 20 cm, which is converted to 0.2 meters.

What is Coulomb's constant (k) and its value used in the calculations?

Coulomb's constant (k) is 9 × 10^9 Nm²/C², and it is used in the formulas to calculate electric potential.

How is the electric potential at point A (Va) calculated?

The electric potential at point A (Va) is calculated using the formula Va = k * q / R, where R is the radius of the conductor. Since point A is inside the conductor, Va is the same as the potential on the surface of the conductor.

What is the value of the electric potential at point A?

The electric potential at point A is Va = -3.6 × 10^7 volts.

How is the electric potential at point B (VB) calculated?

The electric potential at point B (VB) is calculated using the formula VB = k * q / (R + X_B), where X_B is the distance from the surface of the conductor to point B.

What is the distance of point B from the center of the conductor?

Point B is located 0.3 meters away from the surface of the conductor, which means the distance from the center of the conductor to point B is R + X_B = 0.1 + 0.3 = 0.4 meters.

What is the value of the electric potential at point B?

The electric potential at point B is VB = -1.2 × 10^7 volts.

How is the work done to move a charge from point B to point A calculated?

The work done to move a charge from point B to point A is calculated using the formula W = q * (Va - VB), where q is the charge being moved, and Va and VB are the electric potentials at points A and B.

What is the work required to move a charge of -200 microCoulombs from point B to point A?

The work required to move a charge of -200 microCoulombs from point B to point A is W = 4800 Joules.