Question

In: Physics

Consider the hemispherical closed surface in the figure below. The hemisphere is in a uniform magnetic...

Consider the hemispherical closed surface in the f

Consider the hemispherical closed surface in the figure below. The hemisphere is in a uniform magnetic field that makes an angle ? with the vertical.

(a) Calculate the magnetic flux (?B) through the flat surface S1. (Use any variable or symbol stated above along with the following as necessary: pie.)

?B = __________.

(b) Calculate the magnetic flux (?B) through the hemispherical surface S2. (Use any variable or symbol stated above along with the following as necessary: pie.)

?B =__________.

Solutions

Expert Solution

(a) \(\left(\varphi_{\mathrm{B}}\right)_{\text {flat }}=\mathrm{BA}=\mathrm{B} \pi \mathrm{R}^{2} \cos (180 \cdot \theta)=-\mathrm{B} \mathrm{nR}^{2} \cos \theta\)

(b) The net flux out of the closed surfaceis zero \(\left(\varphi_{B}\right)_{\text {flat }}+\left(\varphi_{B}\right)_{\text {curved }}=0\)

\(\left(\varphi_{\mathrm{B}}\right)_{\text {curved }}=\mathrm{B} \pi \mathrm{R}^{2} \cos \theta\)


Related Solutions

A hemispherical surface (half of a spherical surface) of radius R is located in a uniform...
A hemispherical surface (half of a spherical surface) of radius R is located in a uniform electric field of magnitude E that is parallel to the axis of the hemisphere. What is the magnitude of the electric flux through the hemispherical surface? A diagram is required as part of your answer
The figure below displays a circular loop of nickel wire in a uniform magnetic field pointing...
The figure below displays a circular loop of nickel wire in a uniform magnetic field pointing into the page. The radius of the loop is 10.0 cm and the magnitude of the field is 0.160 T. You grab points A and B and pull them in opposite directions, stretching the loop until its area is nearly zero, taking a time of 0.210 s to do so. What is the magnitude of the average induced emf in the loop (in mV)...
A magnetic field has a magnitude of 0.038 T and is uniform over a circular surface...
A magnetic field has a magnitude of 0.038 T and is uniform over a circular surface whose radius is 24 cm. The field is oriented at an angle of 42° with respect to the normal to the surface. What is the magnetic flux through the surface?
4. When does a surface have its total hemispherical emissivity equal to its total hemispherical absorptivity...
4. When does a surface have its total hemispherical emissivity equal to its total hemispherical absorptivity for radiation coming from a blackbody? A. When the surface temperature is equal to the temperature of the source of radiation B. When the surface temperature is greater than the temperature of the source of radiation C. When the surface temperature is less than the temperature of the source of radiation D. When the surface temperature and the temperature of the source of radiation...
Magnetic Force Vector Drawing The situations below, a charged particle enters a region of uniform magnetic...
Magnetic Force Vector Drawing The situations below, a charged particle enters a region of uniform magnetic field. Draw a vector to represent the direction of the magnetic force on the particle. Part A Draw the vector starting at the location of the charge. The location and orientation of the vector will be graded.The length of the vector will not be graded.
The switch in the figure below is open for t<0 and is then thrown closed at...
The switch in the figure below is open for t<0 and is then thrown closed at time t = 0. Assume R = 8.00 2, L = 8.00 H, and E = 15.0 V. Find the following as functions of time thereafter. Assume current is in A and time is in s. Use the following as necessary: t.)  (a) the current in the inductor (b) the current in the switch
Consider a particle with a charge-to-mass ratio of ?/? = 1 moving in a uniform magnetic...
Consider a particle with a charge-to-mass ratio of ?/? = 1 moving in a uniform magnetic field of B = 1 Tesla applied in z-direction. At time t = 0 s, it is located at r = (0, 10, 0) m and its velocity is v = (10, 0, 0) m/s. (a) Qualitative motion Draw a diagram of the situation when the proton starts its motion, showing its instantaneous velocity v0, the magnetic field vector B and the direction of...
Consider a particle with a charge-to-mass ratio of ?/? = 1 moving in a uniform magnetic...
Consider a particle with a charge-to-mass ratio of ?/? = 1 moving in a uniform magnetic field of B = 1 Tesla applied in z-direction. At time t = 0 s, it is located at r = (0, 10, 0) m and its velocity is v = (10, 0, 0) m/s. (a) Qualitative motion Draw a diagram of the situation when the proton starts its motion, showing its instantaneous velocity v0, the magnetic field vector B and the direction of...
The loop in the figure below is being pushed into the 0.20 T magnetic field at...
The loop in the figure below is being pushed into the 0.20 T magnetic field at 50 m/s. The resistance of the loop is 0.10 , and its width d = 5.4 cm. What are the direction and the magnitude of the current in the loop? (in units of A) The loop in the figure below is being pushed into the 0.20 T magnetic field at 50 m/s. The resistance of the loop is 0.10 , and its width d...
The circuit in the figure below is located in a magnetic field whose magnitude varies with...
The circuit in the figure below is located in a magnetic field whose magnitude varies with time according to the expression B = 1.00  10-3t, where B is in teslas and t is in seconds. Assume the resistance per length of the wire is 0.107 Ω/m. Find the current in section PQ of length a = 64.0 cm. magnitude µA direction ---Select--- from Q to P from P to Q The magnitude is zero. A rectangular loop of wire in the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT