On a clear day at a certain location, the Earth's magnetic field has a magnitude of 0.500 × 10-4 T. Compute the energy density of the magnetic field.
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- At a particular place on the surface of the Earth, the Earth's magnetic field has magnitude of 5.45 x 10-5 T, and there is also a 128 V/m electric field perpendicular to the Earth's surface. (a) Compute the energy density of the electric field. (Give your answer in nJ/m³.) nJ/m³ (b) Compute the energy density of the magnetic field. (Give your answer in μJ/m².) µJ/m³If 53.5 cm of copper wire (diameter = 0.828 mm, resistivity = 1.69 × 10-80-m) is formed into a circular loop and placed perpendicular to a uniform magnetic field that is increasing at the constant rate of 12.5 m/s, at what rate is thermal energy generated in the loop? Number UnitsSuppose you wish to measure the current in a wire. You have a device that can measure the strength of the magnetic field produced by the wire, but the device does not directly measure the current. If the device is place 1.32m away from the wire, and the magnetic field strength is 0.93μT, what is the current running through the wire in Amps? Note: It is understood that the unit of your answer is in A, however do not explicitly include units in your answer. Enter only a number. If you do enter a unit, your answer will be counted wrong.
- The circuit in the figure below is located in a magnetic field whose magnitude varies with time according to the expression B = 1.00 x 10³ t, where B is in teslas and t is in seconds. Assume the resistance per length of the wire is 0.099 /m. Find the current in section PQ of length a = 60.0 cm. magnitude μA direction from Q to P a xxxxx * * * ** x Bin * * x X xx * * * xx x X xx 2a x x x x xx P xxxx xxxx **** * x x x x Q aThe 12.0 cm long rod as shown moves at 4.00 m/s.What is the strength of the magnetic field if a 95.0 V emf isinduced?A wind turbine generator contains a circular coil that is rotated fully through a 100-turn cycle. If the average emf over 10 seconds equals 153 V, with magnetic field strength of 4.00 T, what would be the radius of the coil in meters?
- At a certain place, Earth's magnetic field has magnitude B =0.806 gauss and is inclined downward at an angle of 71.1° to the horizontal. A flat horizontal circular coil of wire with a radius of 13.1 cm has 939 turns and a total resistance of 73.9 Q. It is connected to a meter with 130 Q resistance. The coil is flipped through a half-revolution about a diameter, so that it is again horizontal. How much charge flows in coulombs through the meter during the flip? Number UnitsFind the flux of Earth's magnetic field of magnitude 5.00 ✕ 10−5 T through a square loop of area 30.0 cm2 for the following: (a) when the field is perpendicular to the plane of the loop. ____T x m^2 (b) when the field makes a 48.5° angle with the normal to the plane of the loop. ____ T x m^2 (c) when the field makes a 90.0° angle with the normal to the plane. _____ T x m^2A square loop whose sides are 9 cm long is made with copper wire of radius 5 mm, assuming resistivity of copper is 1.72 × 10−8 Ohm × m. If a magnetic field perpendicular to the loop is changing at a constant rate of 1 mT/s, what is the current in the loop?
- An astronaut is connected to her spacecraft by a 29-m-long tether cord as she and the spacecraft orbit Earth in a circular path at a speed of 4.1 103 m/s. At one instant, the voltage measured between the ends of a wire embedded in the cord is measured to be 0.44 V. Assume the long dimension of the cord is perpendicular to the vertical component of Earth's magnetic field at that instant. (a) What is the magnitude of the vertical component of Earth's field at this location? uT(b) Does the measured voltage change as the system moves from one location to another? Explain.Find the flux of Earth's magnetic field of magnitude 5.00 x 10-5 T through a square loop of area 40.0 cm2 for the following: (a) when the field is perpendicular to the plane of the loop T:m2 (b) when the field makes a 25.5° angle with the normal to the plane of the loop T.m2 (c) when the field makes a 90.0° angle with the normal to the plane T.m2A 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 =