Question

1 Consider the arrangement shown in Figure 1. The elements P, P2, P3 and PA are located at coordinates (x, y, z): P1: (0,0,0); P 2:\left(a, \frac{2}{3} a, 0\right) P 3:(2 a, 0,0) P 1:(a,-2 a, 0) Suppose that P1, P2, Ps and P, are point charges of charge q1 = q,2 = q, 93 = -q and q4 =y components of the electric field E at the coordinate of P. Hence,calculate the magnitude and the angle of the electric field E at the coordinate of P considering a = 1 m and q =-q. Find the expression for the x and10-9 C Suppose that P1, P2, P3 and Pa are infinite charged lines extending into the z direction and of charge density o1 = 0, 02 = 0, 03 = -and o4 = -o. Find the expression for the r 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 a = 1 m and o = 10-9 C/m. Suppose that P1, P2, P3 and P are infinite current-carrying wires extending into the z direction, and carrying currents I = I, I2 = I,I = -I and I = -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 P considering a =lm andI =1A Suppose that P1, P2, P3 and P are infinite current-carrying wires extending into the z direction, and carrying currents I = I, I, = I,I3 = -I and I = -I. Positive currents flows along the z direction whereas negative currents are anti parallel to 2. Find the expression for the x and y components of the force per unit length f that P,P2, P3 and PA excerpt on P. Hence, calculate the magnitude and the angle of f considering a = 1 m and I = 1A.

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