Show that the charges placed on a system of fixed conductors are distributed on the conductors'...

Show that the charges placed on a system of fixed conductors are distributed on the conductors' surfaces in such a way that the electrostatic energy of the resulting field is a minimum (Thomson theorem)

Expert Solution

genius_generous answered 2 years ago

In a rectangular coordinate system, point charges of 2muC, 4muC, 5muC and -4muC are placed at...

In a rectangular coordinate system, point charges of 2muC, 4muC, 5muC and -4muC are placed at the points p1(3,4) meters, P2 (0,4) meters, P3(1,3) meters and p4(5,2) meters,respectively. Calculate the amount of work required to transfer a charge of 15muC from the origin to the point (6,2) meters

Two charges are placed on the x axis. One of the charges (q1 = +8.59C) is...

Two charges are placed on the x axis. One of the charges (q1 = +8.59C) is at x1 = +3.00 cm and the other (q2 = -24.4C) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm. please help

Two charges are placed on the x axis. One of the charges (q1 = +7.73C) is...

Two charges are placed on the x axis. One of the charges (q1 = +7.73C) is at x1 = +3.00 cm and the other (q2 = -23.7C) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm.

Two charges are placed on the x axis. One of the charges (q1 = +6.23C) is...

Two charges are placed on the x axis. One of the charges (q1 = +6.23C) is at x1 = +3.00 cm and the other (q2 = -29.4C) is at x2 = +9.00 cm. Find the net electric field (magnitude and direction given as a plus or minus sign) at (a) x = 0 cm and (b) x = +6.00 cm.

Two charges are placed on the x axis. One of the charges (q1 = +7.6 µC)...

Two charges are placed on the x axis. One of the charges (q1 = +7.6 µC) is at x1 = +3.3 cm and the other (q2 = -18 µC) is at x2 = +8.9 cm. (a) Find the net electric field (magnitude and direction) at x = 0 cm. (Use the sign of your answer to indicate the direction along the x-axis.) (b) Find the net electric field (magnitude and direction) at x = +6.4 cm. (Use the sign of...

(a)Two charges are placed on the x-axis: one is placed at x = 3 m and...

(a)Two charges are placed on the x-axis: one is placed at x = 3 m and the other is at x = -3 m. The magnitude of both charges is 9.7

Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at...

Three point charges are placed on the x-axis. A charge of +2.0 μC is placed at the origin, -2.0 μC to the right at x = 50 cm, and +4.0 μC at the 100 cm mark. What are the magnitude and direction of the electrostatic force which acts on the charge at the origin?

Two charges are placed on the x-axis: one is placed at x = 3 m and...

Two charges are placed on the x-axis: one is placed at x = 3 m and the other is at x = -3 m. The magnitude of both charges is 5 µC but the blue one (at x = -3 m) is positive while the red one (at x = +3 m) is negative 1.What is the x-component of the electric field at (x, y) = (0 m, +4 m)? 3) Now the positive and negative charge switch places. The...

Three point charges are placed at the corners of a right-angle triangle, as shown in the...

Three point charges are placed at the corners of a right-angle triangle, as shown in the figure. The masses, charges and coordinates of the three objects are given as follows: Mass (g): Charge (μC): Coordinate (mm): ?1 = 2.30 ?1 = −1.25 ?1 = (0; 6.00) ?2 = 0.15 ?2 = +0.55 ?2 = (0; 0) ?3 = 1.50 ?3 = −2.05 ?3 = (4.00; 0) (a) Determine the coordinate of the centre of mass of the system. (b) Calculate...

Charges are placed on the x-axis as follows: q1 = + 5 μC at x =...

Charges are placed on the x-axis as follows: q1 = + 5 μC at x = -5 m q2 = − 3 μC at x = -1 m q3 = − 2 μ C at x = +2 m q4 = + 9 μ C at x = +3 m What is the net force on q2? Answer in units of milli-Newtons rounded to 3 significant figures.

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