A wire has a current of I = 80 Amps going upward. A square loop of wire is a distance of d = 2 m to the right of the wire. a. What is the magnitude of the magnetic field at the center of the loop from the current in the wire? B = T b. What is the direction of the magnetic field? YOU ONLY GET ONE ATTEMPT FOR THIS PART. ---Select--- c. The loop of wire is square with each side having a length of l = 0.21 m. What is the magnetic flux through the loop? (Assume the field is constant across the loop with the value at the center.) $\Phi$ = Webbers d. The current drops to zero in $\Delta t$ = 0.00833 second. If the loop consists of N = 50 turns of wire, what is the absolute magnitude of the induced voltage (EMF) in the loop? $\epsilon$ = volts e. What is the direction of the induced current? YOU ONLY GET ONE ATTEMPT FOR THIS PART. ---Select---
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The formula is given by: \[ B = \frac{{\mu_0 \cdot I}}{{2 \cdot \pi \cdot d}} \] where B is the magnetic field, I is the current, d is the distance from the wire, and \(\mu_0\) is the permeability of free space. Show more…
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A single loop of wire in the shape of a square with sides of length l = 25.0 cm is sitting in a uniform magnetic field of 1. 30 T. The field points out of the page, and the the loop is in the plane of the page with sides parallel to the x and y axes. (a) If a current of 3. 70 A flows through the loop, what is the magnitude of the magnetic force on a single side of the loop? (b) If the magnetic field strength drops to zero in 2. 40 s, what is the magnitude of the emf that will be induced in the loop? (Disregard the original current flow in this part and the next part). (c) What direction (clockwise or counter clockwise) would the current flow due to the emf from part (b)?
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A square wire with side a = 0.085 m is in a time-varying magnetic field with magnitude B(t) = At, where A = 0.15 T/s. The plane in which the square is located has an angle θ with the direction of B. Express the magnitude of the magnetic flux going through the loop, Φ, in terms of A, t, a, and θ. a. Express the derivative of the flux with respect to time, dΦ/dt. b. Express the magnitude of the emf induced in the loop, ε, in terms of A, a, and θ. c. Calculate the numerical value of ε when θ = 0, in volts. d. Calculate the numerical value of ε when θ = 90°, in volts.
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