Question

Mechanics

Consider the arrangement shown in Figure 1. The elements P1, P2, P3 andPa are located at coordinates (x, y, z):

P1 : (0,0,0);

P2 : (a, 2/3a, 0);

Р3: (2а, 0,0);

P1: (а, — 2а,0)

Suppose that P1, P2, P3 and P4 are point charges of charge q1 = q,92 = q, 93 = -q and q4 = -q. Find the expression for the x andy components of the electric field E at the coordinate of PA. Hence,calculate the magnitude and the angle of the electric field E at the coordinate of P4 considering a = 1 m and q == 10-9 C.[25]

Suppose that P1, P2, P3 and P4 are infinite charged lines extending into the z direction and of charge density ơ1 = sigma, sigma2 = 0, sigma3 = -sigma and sigma4 = -sigma. Find the expression for the x and y components of the electric field at the coordinate of P4. Hence, calculate the magnitude and the angle of the electric field E at the coordinate of P, considering[25]a = 1m and o =10-9 C/m.

Suppose that P1, P2, P3 and P4 are infinite current-carrying wires extending into the z direction, and carrying currents I = I, I2 = I,I3 = -I and Whereas negative currents are anti parallel to z. Find the expression for the x and y components of the force per unit length f that P1,P2, P3 and Pa excerpt on P4. Hence, calculate the magnitude and the angle of f considering a = 1 m and I = 1 A.= -I. Positive currents flows along the z direction

Suppose that P, P2, P3 and P4 are infinite current-carrying wires extending into the z direction, and carrying currents I = I, I2 = I,I3 = -I and I4 = -I. Positive currents flows along the z direction whereas negative currents are anti parallel to z. Find the expression for the x and y components of the magnetic field B at the coordinate of P4. Hence, calculate the value of the magnitude and the angle of the magnetic field B at the coordinate of P4 considering a = 1 m andI = 1 A.[25]


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