Figure shows a wire that has been bent into a circular arc of radius r = 24.0 cm, centered at O. A straight wire OP can be rotated about O and makes sliding contact with the arc at P. Another straight wire OQ completes the conducting loop. The three wires have cross-sectional area $$1.20mm^2$$ and resistivity $$1.70 \times 10^{-8} \Omega \cdot m$$, and the apparatus lies in a uniform magnetic field of magnitude B = 0.150 T directed out of the figure.Wire OP begins from rest at angle $$\theta =0$$ and has constant angular acceleration of $$12rad/s^2$$. As functions of $$\theta $$ (in rad), find (a) the loops resistance and (b) the magnetic flux through the loop. (c) For what $$\theta $$ is the induced current maximum and (d) what is that maximum?

Question

Figure shows a wire that has been bent into a circular arc of radius r = 24.0 cm, centered at O. A straight wire OP can be rotated about O and makes sliding contact with the arc at P. Another straight wire OQ completes the conducting loop. The three wires have cross-sectional area $$1.20mm^2$$ and resistivity $$1.70 \times 10^{-8} \Omega \cdot m$$, and the apparatus lies in a uniform magnetic field of magnitude B = 0.150 T directed out of the figure.Wire OP begins from rest at angle $$\theta =0$$ and has constant angular acceleration of $$12rad/s^2$$. As functions of $$\theta $$ (in rad), find (a) the loops resistance and (b) the magnetic flux through the loop. (c) For what $$\theta $$ is the induced current maximum and (d) what is that maximum?

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