Question

Consider the hemispherical closed surface in the figure below. The hemisphere is in a uniform magnetic field that makes an angle θ with the vertical S2 (a) Calculate the magnetic flux (ФВ) through the flat surface S1. (Use any variable or symbol stated above along with the following as necessary: T.) (b) Calculate the magnetic flux (4B) through the hemispherical surface S2. (Use any variable or symbol stated above along with the following as necessary: π.) 8

0 0
Add a comment Improve this question Transcribed image text
Answer #1

a) magnetic flux through the flat surface = A*B*cos(theta) (here theta must be the angle between normal to the area and magnetic field)

= A*B*cos(180 - theta)

= -A*B*cos(theta)

= -pi*R^2*B*cos(theta) <<<<<<<<<<<<------------Answer

b) using Gauss' law in magnetism, net magnetic flux through any closed suarfce = 0

magnetic flux through flat surface + magnetic flux through curved surface = 0

magnetic flux through curved surface = -magnetic flux through flat surface

= -(-pi*R^2*B*cos(theta))

= pi*R^2*B*cos(theta) <<<<<<<<<<<<------------Answer

Add a comment
Know the answer?
Add Answer to:
Consider the hemispherical closed surface in the figure below. The hemisphere is in a uniform magnetic...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Flex question A hemispherical close surface of radius R is placed in a uniform field of...

    Flex question A hemispherical close surface of radius R is placed in a uniform field of magni- tude E. i)What would be the flux through the entire closed surface? ii)What is the flux through the dome of the hemisphere? Select one: a. i), ii) ERR b. i), ii) c. i)2ER2, ii) d. i)ETR, ii) e. i)-ErR2, ii)0 f. i)2E+R2, ii)ErR g. 100, ii)-ETR2 Next

  • The figure below shows a section of a very thin, very long, straight rod with a...

    The figure below shows a section of a very thin, very long, straight rod with a uniform charge per unit length of λ. Point O is a perpendicular distance d from the rod. A spherical gaussian surface is centered at point O and has a radius R. (Use any variable or symbol stated above along with the following as necessary: ε0.) (a) What is the electric flux through the spherical surface if R < d? ΦE =    (b) What...

  • 1. what is the electric field at the centre (r = 0) of a hemisphere bounded...

    1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density. Let's make Pl =...

  • A strong magnet is placed under a horizontal conducting ring of radius r that carries current...

    A strong magnet is placed under a horizontal conducting ring of radius r that carries current I as shown in the figure below. The magnetic field B makes an angle θ with the vertical at the ring's location. (a) what is the magnitude of the resultant magnetic force on the ring? (Use any variable or symbol stated above along with the following as necessary: π) (b) What is the direction of the resultant magnetic force on the ring? to the...

  • A uniform solld disk of radius R and mass M is free to rotate on a...

    A uniform solld disk of radius R and mass M is free to rotate on a frictionless plvot through a point on its rim (see figure below). The disk is released from rest In the position shown by the Pivot (a) What is the speed of its center of mass when the disk reaches the position indicated by the dashed circle? (Use any variable or symbol stated above along with the following as necessary: g) (b) What is the speed...

  • SerPOP5 10.P.065 .so I n. My Notes Ask Your Teacher 12. -/6 points A long uniform...

    SerPOP5 10.P.065 .so I n. My Notes Ask Your Teacher 12. -/6 points A long uniform rod of length L and mass M is pivoted about a frictionless, horizontal pin through one end. The rod is nudged from rest in a vertical position as shown in the figure below L Pin (a) At the instant the rod is horizontal, find its angular speed. (Use any variable or symbol stated above along with the following as necessary: g for the acceleration...

  • Two infinite, nonconducting sheets of charge are parallel to each other as shown in the figure below.

    Two infinite, nonconducting sheets of charge are parallel to each other as shown in the figure below. The sheet on the left has a uniform surface charge density σ, and the one on the right has a uniform charge density -σ. Calculate the electric field at the following points. (Use any variable or symbol stated above along with the following as necessary: ε0.)

  • Help with question 2 1. what is the electric field at the centre (r = 0)...

    Help with question 2 1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....

  • Consider a plane surface in a uniform electric field as in Figure below, where d =...

    Consider a plane surface in a uniform electric field as in Figure below, where d = 15.0 cm and θ = 70.0o. If the net flux through the surface is 6.00 N · m2/C, find the magnitude of the electric field.

  • Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ....

    Consider an infinitely long, hollow cylinder of radius R with a uniform surface charge density σ. 1. Find the electric field at distance r from the axis, where r < R. (Use any variable or symbol stated above along with the following as necessary: ε0.) 2. What is it for r > R? E(r>R) = ? Sketch E as a function of r, with r going from 0 to 3R. Make sure to label your axes and include scales (i.e.,...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT