The figure shows an irregular, planar loop and four currents directed perpendicular to it. If I₁ = 21 A, 1₂ = 49 A, 13 = 25 A, and 14 = 28 A, find the value of § B • di (in µT∙m), integrating around the loop in the direction indicated. 12 13 14

. The following picture shows a LONG conductor carrying current 1. Nearby there is a conducting rectangular loop with sides a = 8 cm and b = 4 cm. The loop also carries a resistance R = 10 ohms. The curent is constant and has a value of I = 6.0 Amperes. The loop is moving away to the right with a constant velocity, V = 2 m/s. Answer the following questions at the instant of time t" when the left edge of the loop is at position "x" as shown below Use the coordinate system , x to the right, y into the board, z upward a) Write an expression for the magnetic field as a function of the distance "x" (from the LONG conductor to the loop. ) USE “+" for CCW circulation and “.“ for CW circulation. b) Write the magnetic field in "i-j-k" format at point "x" to the right of the current carrying wire in the "i-zZ" plane R a c) Write the infinitesimal area vector for the loop in "i-j-k" format d) Write the explicit integral for the magnetic flux through the area of the loop using the answer for B and…

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For the circuit shown below, Ɛ = 24 V, L = 3.6 mH, and R = 3.0 N. After steady state is reached with S, closed and S, open, S, is closed and immediately thereafter (at t = 0) S, is opened. R S2 R (a) Determine the current through L (in A) at t = 0. A (b) Determine the current through L (in A) at t = 4.0 x 10-4 s. A (c) Determine the voltages across L and R (in V) at t = 4.0 x 10-4 s. V, = V VR = V 0000,