Two circular current-carrying loops of wire are shown in the drawing. The inner loop has a radius of R0 and carries a current I0, while the outer loop has a radius of 2R0 and carries a current of 4I0. The currents are in opposite directions. If R0 = 0.20 m and I0 = 1.8 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.

Two circular current-carrying loops of wire are shown in the drawing. The inner loop has a radius of R0 and carries a current I0, while the outer loop has a radius of 2R0 and carries a current of 4I0. The currents are in opposite directions. If R0 = 0.20 m and I0 = 1.8 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.

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Question

Two circular current-carrying loops of wire are shown in the drawing. The inner loop has a radius of R₀ and carries a current I₀, while the outer loop has a radius of 2R₀ and carries a current of 4I₀. The currents are in opposite directions. If R₀ = 0.20 m and I₀ = 1.8 A, determine the magnitude and direction of the net magnetic field at the center of the two loops.