Question

Consider two thin nonconducting rods of length L that are parallel to each other, and a distance L apart. One rod has a charge + and the other has a charge +2Q, each uniformly distributed along their lengths. Find the electric field midway between the two rods, as shown L/2 E=? t0 +20

Answer 1

Two thin no - conducting rods of length L q_1 = + Q q_2 = + 2 Q E_1 = k q_1/1/2 squareroot (L/2)^2 + (L/2)^2, E_2 = k q_2/L/2 squareroot (L/2)^2 + (L/2)^2 net electric field at p E_p = E_2 - E_1 E_p = k q_2/(L/2)^2 squareroot 2 - k q_1/(L/2)^2 squareroot 2 E_p = 4 k/squareroot 2 L^2 (q_2 - q_1) E_p = 4 k (2 theta - theta)/squareroot 2 L^2 E_p = 2 squareroot 2 k theta/L^2