What is the average induced current in the loop if the radius of the loop is steadily increased from 5 cm to 15 cm over 0.11 s? Also what direction does the current flow through the resistor? Assume that the magnetic field has a magnitude of 0.83 T. The image illustrates a closed loop circuit with a resistor placed in a magnetic field. The components and elements in the diagram are detailed as follows:1. **Magnetic Field (\(\mathbf{B}\))**: - Represented by blue dots spaced evenly across the background, indicating a uniform magnetic field perpendicular to the plane of the circuit. The magnetic field vector \(\mathbf{B}\) is shown in the bottom left corner, suggesting the direction of the field.2. **Circular Loop**: - The left part of the circuit consists of a circular loop, which interacts with the magnetic field. This setup is commonly analyzed in physics to study electromagnetic induction.3. **Resistor**: - Located on the right side of the circuit, the resistor is connected in series with the loop. It is labeled with a resistance value of \(5.0 \, \Omega\).4. **Connections**: - The circular loop and the resistor are connected with conducting wires, forming a closed circuit. This setup can be used to explore concepts such as Faraday's Law of Electromagnetic Induction, where a change in magnetic flux through the loop can induce an electromotive force (EMF), subsequently driving a current through the resistor.

Given, Magnitude of the magentic field in the region, B = 0.83 Tradius of the current loop increase steadily,r1 = 5 cm to r2 = 15 cmtime interval, ∆t = 0.11 sThe emf induces in the loop is, rate of change of magnetic flux from the loop, ε = -∆φ∆twhere,φ = BAhence,ε = BA2 - BA1∆tε = 0.83 Tπr22 - πr12∆tε = 0.83 T×π0.152 - 0.052 m20.11 sε = 0.474 VNow the current induced in the loop, I = εRI = 0.4745I = 0.0948 AI = 94.8 mA