1. The current I through a long solenoid with n turns per meter and radius 0.30m is changing with time as given by /=sin(120t). The magnetic field inside a solenoid is given by B=nuol where Ho is the free space permeability Ho=1.26-10-6 H/m. What is the magnetic flux through a single coil at a time of t= 1.1 s at distance r= 0.25 m from the center of the solenoid if there are, n=108 turns/m? a) Start by determining the flux through a gaussian loop of radius r=0.25 m centered in the middle of the solenoid. Hint: Is the angle for the sine function in degrees or radians? B=nuosin(120t) ²2²= VTm² b) Next determine the rate of change of the magnetic flux with time d (nuosin(120t)²) = Tm²/s dt $B= d dt |§E·a|-|-dd₂| Recall that the symmetry of the c) The electic field can then be determined from dt problem means the electric field is constant when integrating around the loop. E= V/m

3. The N and S pole faces of a bent cylinder magnet form are separated from one another by a small gap, forming the magnetic analogue of a parallel plate capacitor. Positive magnetic charge is uniformly distributed on the north pole face and negative magnetic charge is uniformly distributed on the south pole face. If the magnetic field B in the gap is 0.2 Tesla, what is the magnetic surface charge density on each of the two pole faces? If the radius of the pole faces is 4.0 cm, what is the force of attraction between them?

Suppose your 60.0-L (15.9-gal) steel gasoline tank is full of gas, so both the tank and the gasoline have a temperature of 15.0ºC . How much gasoline has spilled by the time they warm to 35.0ºC ?

A small circular coil of 20 loops of wire having a radius of 1 cm is at rest in the X-y plane (so the normal to the loop points in the +z-direction). A uniform magnetic field of 0.5 T is turned on in the +x-direction. What is the magnetic flux through the loop? a. 7.85 x 10 Tm² b. 1.57 x 10 4 T m² O c. 3.14 x 10 3 T m2 O d. 0 T m2

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2. A slinky is stretched so that there is a gap of 0.95cm between each loop. The magnetic field at the center of the slinky is measured for a range of currents and a graph is plotted of B (in milli-Tesla) versus current I (in Amperes). The result is a straight line with a slope of 0.14 mT/A and an intercept of 0.024 mT. Determine the value of 4 from this result.

C 12:52 HW8_60e193652a3a1c9d2d... 2. 2 of 4 SOS Done The 5.2 m long metal rotor blades of a helicopter spin at 6.0 revolutions per second perpendicular to the earth's magnetic field of 4.7x10 T. Axis What is the magnetic flux swept out by the rotor blades in one revolution and what is the emf induced between the axis and tip of a rotor blade? 3. In a CRT electrons are accelerated from rest by a potential difference of 1.40x10'V These electrons enter a magnetic field with a strength of 2.20x102 T Assuming the electrons are traveling perpendicular to the field what id the radius of the are of the deflected electrons?

1. A student uses a coil of radius 14 cm with 90 windings.a) Calculate the expected slope for a plot of magnetic field vs current in this coil.b) She performs the lab and measures a slope of 4.2 ́ 10-4 T/A. Based on this slope, what valuedoes she calculate for μo ?c) Calculate the percent error between her measured value of μo and the theoretical value.

3. A 21.0 cm diameter coil consists of 34 turns of cylindrical copper wire 2.80 mm in diameter. A uniform magnetic field, perpendicular to the plane of the coil, changes at a rate of 8.50 × 10−³ T/s. Determine the current in the loop in milli-amps (the resistivity for copper is 1.72 × 10-³2.m). mA

You have a solenoid with an initial current of 386 A and a turn density of 6088 What is the initial magnetic field through the solenoid? Binitial = 2.95 T The current in the solenoid drops to 51 A over the course of 1.1 ms. What is the final magnetic field through the solenoid? Bfinal = T Inside the solenoid is a coil with 75 loops and a radius of 9.0 cm. The coil is aligned so that the magnetic field from the solenoid passes through the coil perpendicular to the plane of the coil (directly down the center of the coil). What is the magnitude of the induced emf in the 75-turn coil at the center of the solenoid during this change in magnetic field? Enter you answer as a positive number. emf = V The coil has a resistance of 20 2. What is the current through the coil? Icoil A loops m = What is the power dissipated by the coil? Pcoil = W