Derive an expression for the displacement current id in a parallel-plate capacitor of capacitance C, where V is the potential difference between the plates. State your answers in terms of C, V, and t. id =
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- A long straight wire is fixed in space and has current I. Draw the wire vertically with the current flowing upward. A square wire loop with side length s and resistance R is in the plane of the page and has its closest side a distance x away from the wire. Find the magnetic flux through the square HINT: The B-field depends on distance from the wire so you will have to integrate. The loop is pushed with velocity v toward the Find the rate of change of magnetic flux. HINT: Don't forget the chain rule. If f(x(t)) is a function of x and x is a function of t, then df/dt = (df/dx)(dx/dt) Find the current induced in the square Which direction is the current flowing? Explain with Lenz's Law Find the net magnetic force on theA circular closed, conducting loop of radius r is in the presence of a uniform magnetic field that points into the page, shown in the figure below. The strength of the magnetic field changes as a function of time, which is described by the following expression: B(t) = B1t? + Bo. You may assume that B1 and Bo are both positive numbers. The direction of the magnetic field stays constant. The total resistance of the conducting loop is R. Use this information to solve parts (a) - (d). Write your answers in terms of known quantities such as: r, R, B1, Bo, and t. B(t) = B,t? + Bo %3D R r (a) Write an expression for the magnetic flux through the loop, assuming that the area vector of the loop points out of the page. Is the flux increasing or decreasing over time? (b) Determine the magnitude of the induced electromotive force driven through the loop. (c) Determine the magnitude of the induced current driven through the loop. (d) In which direction does the induced current flow (clockwise or…A proton is traveling through a region of space containing both a magnetic and electric field. At one instant in time, the velocity is U = (13500 Î + +38500) m/s and the acceleration is a = (4.39 k) x 10 m/s². If B=(9.21 k) mT, what is the magnitude of the electric field? i Save for Later N/C Submit Answer
- Please find give me the same wrong answer Thank youA 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 of 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.