W L X X X X X X X X X X X X X X X X X XX XXXX B 18 X X X X X X X X LB At t=0, a rectangular coil of resistance R = 2 ohms and dimensions w = 3 cm and L = 8 cm enters a region of constant magnetic field B = 1.6 T directed into the screen as shown. The length of the region containing the magnetic field is LB = 15 cm. The coil is observed to move at constant velocity v = 5 cm/s. What is the force required at time t = 0.8 sec to maintain this velocity? F(0.8 sec) = N Submit
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- A uniform magnetic field of magnitude 0.54 T is directed perpendicular to the plane of a rectangular loop having dimensions 8.3 cm by 10 cm. Find the magnetic flux through the loop. T · m2Problem 1: Figure shows a conducting loop consisting of a half-circle of radius r = 0.20 m and three straight sections. The half circlelies in a uniform magnetic field that is directed out of the page; the field magnitude is given by B = 4.0ť² + 2.0t + 3.0, with B in teslas and t in seconds. An ideal battery with emfat = 2.0 V is connected to the loop. The resistance of the loop is 2.00 . (a) What are the magnitude and direction of the emf ind induced around the loop by field at t 10 s? (b) What is the current in the loop at t 10 s? d 0&veProblem 4: A loop of wire with radius r0.045 m is in a magnetic field with magnitude B as shown in the figure. B changes from B,-0.45 T to B,-7.5 T inAt = 2.5 s at a constant rate. The resistance of the wire is R 8 Ω Randomized Variables r0.045 m B,-0.45T B2=7.5 T At- 2.5 s R=862 Part (a_Express the magnetic flux cp going through a loop of radius r assuming a constam magnetic field B. HOME 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback Part (b) Express the magnetic flux change, Ф, in terms of B1, B2 and r. Part (c) Calculate the numerical value ofΔΦ in T.m Part (d) Express the magnitude of the average emf, ε, induced in the loop in terms of ΔΦ and Δ ▲ Part (e) Calculate the numerical value of the emf in V Part (f) Express the current induced in the loop, I, in terms ofe and kR
- You are given a hollow copper cylinder with inner radius a and outer radius 3a. The cylinder's length is 200a and its electrical resistance to current flowing down its length is R. To test its suitability for use in a circuit, you connect the ends of the cylinder to a voltage source, causing a current I to flow down the length of the cylinder. The current is spread uniformly over the cylinder's cross section. You are interested in knowing the strength of the magnetic field that the current produces within the solid part of the cylinder, at a radius 2a from the cylinder axis. But since it's not easy to insert a magnetic-field probe into the solid metal, you decide instead to measure the field at a point outside the cylinder where the field should be as strong as at radius 2a. Part A At what distance from the axis of the cylinder should you place the probe?A circular copper loop is placed perpendicular to a uniform magnetic field of 0.75 T. Due to external forces, the area of the loop decreases at a rate of 7.26 x 10-3 m²/s. Determine the induced emf in the loop. O 6.3 x 10-4 V O 3.1 V O 5.4 x 10-3 V O 1.2 x 10-3 V O 3.1 × 10-4 VThe conducting rod ab shown in (Figure 1) makes frictionless contact with metal rails ca and db. The apparatus is in a uniform magnetic field of 0.800 T, perpendicular to the plane of the figure. Figure Part A Xc X X X X X d x 100 B X X X X X X X X Xa x TD X X 50.0 cm 1 of 1 > Find the magnitude of the emf induced in the rod when it is moving toward the right with a speed 7.60 m/s. Express your answer in volts.
- The figure below shows the cross section of a long cylindrical conducting cylinder of radius a = 0.0794 m. The current density in the cross section is given by J = (8.58 x 106 A/m³) r. Where inside the cylinder does the magnetic field have a magnitude of 1.64 x 10-³ T?i m a rThe accompanying figure shows a cross-section of a long, hollow, cylindrical conductor of inner radius r₁ = 3.5 cm and outer radius r2 = 7 cm. A 51-A current distributed uniformly over the cross-section flows into the page. Calculate the magnetic field at r = 0.5 cm, r = 6.5 cm, and T = 8 cm. 12 Hints a. Magnetic field at r = 0.5 cm is 0 b. Magnetic field at r = 6.5 cm is c. Magnetic field at r = 8 cm is T. Additional hint for (a) T. Additional hint for (b) T. Additional hint for (c)A piece of copper wire has a resistance per unit length of 4.63 × 10/m. The wire is wound into a thin, flat coil of many turns that has a radius of 0.208 m. The ends of the wire are connected to a 12.0-V battery. Find the magnetic field strength at the center of the coil. Number i Units >
- A solenoid has the following dimensions. inner diameter d = 4.22 cm length L = 42.7 cm When a current flows through the coil of the solenoid, the magnetic field inside the solenoid is 5.40 T. (a) Determine the magnetic energy density (in J/m³) in the field. UB = 1.16 Apply the equation for the magnetic energy density and insert values. J/m³ (b) Determine the energy (in kJ) stored in the magnetic field within the solenoid. KJ UB =The above figure shows the cross sections of two wires carrying equal magnitude currents of 10 A but in opposite direction (one is into the page, the other is out of the page). The wires are 0.5 m apart (d=0.5 m). Find the magnetic field at point P. Group of answer choices -16 µT upward -8 µT upward -4 µT upward -12 µT downward -14 µT downwardI R The radius of a long, solid, cylindrical conductor is R = 8.0 cm. A current I = 1.0 A is uniformly distributed through the conductor and is flowing out of the page. Calculate the magnitude of the magnetic field at r = 3.2 cm? OA) 2.5 x 10-10 T O B) 25 T ○ C) 10-6 T OD) 6.25 x 10-5 T ○ E) 0.25 T