**Problem Statement:**A long cylindrical wire of radius \( R \) carries a non-uniform current density \( J \) such that:- \( J = J_0 \cdot (R - 2r) \) for \( r \leq R \)- \( J = 0 \) otherwiseAssume that \( J_0 \) and \( R \) are constants.**Tasks:**a) Determine the magnetic field inside the wire.b) Determine the magnetic field outside the wire.c) Determine the location at which the magnetic field is a maximum inside the wire.---**Solution Explanation:**### a) Inside the WireThe magnetic field \( B \) inside the wire is derived using the integration of the current density over the area:\[B = \int_{}^{} \frac{\mu_0 I}{4 \pi c} \frac{dS \times r}{r^2}\]The integration process seems to encounter errors, leading to a comment on the invalid application of the Biot-Savart Law where Ampère's Law should be used instead.**Feedback:**- The application here received feedback: "Ampère's Law! Not Biot-Savart Law."### b) Outside the WireIt is shown that:\[B = 0\]**Feedback:**- The problem score given was \( 0/15 \), suggesting incorrect or incomplete application of the relevant laws.### c) Maximum Magnetic Field InsideThe location of the maximum magnetic field involves setting up the integration for the magnetic field within the wire and evaluating it:\[B = \int_{}^{} \frac{\mu_0 I}{4 \pi c} \frac{dS \times r}{r^2}\]Apparently, the evaluation contained errors leading to non-acceptance.---**Annotations on the Document:**1. **Mathematical Errors:** The integration steps for determining the magnetic fields seem to be inadequate or improperly executed.2. **Methodological Errors:** Incorrect reliance on the Biot-Savart Law instead of Ampère's Law as noted in the feedback comment.**Conclusion:**Reflecting upon the feedback received, corrections should involve utilizing Ampère's Law for calculating magnetic fields inside and outside the wire to address the incorrect evaluations present in this solution attempt.

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Answered: 10. A long cylindrical wire of radius R…

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10. A long cylindrical wire of radius R carries a non-uniform current density J such that for r