Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
The law of Biot and Savart generalizes to the case of surface currents as B=4x da where is the local charge density, is the local velocity, and da is a differential area element. A cylindrical shell with radius R and length W carries a uniform charge and rotates about its axis with angular speed w. The center of the cylinder lies at the origin O and its axis is coincident with the z-axis, as shown in (Figure 1) Use the above equation as an alternative means to derive the magnetic field at the center of the cylinder. Part D What is its vector product by unit vector F. F? Express your answer in terms of the variables z, R, o, and w, if needed. Enter the x, y, and z components of the vector product separated by commas. ΨΕ ΑΣΦ x= R²xw, - Rax cos d, - Rax sin d Submit Previous Answers Request Answer ?

The law of Biot and Savart generalizes to the case of surface currents as B=4x da where is the local charge density, is the local velocity, and da is a differential area element. A cylindrical shell with radius R and length W carries a uniform charge and rotates about its axis with angular speed w. The center of the cylinder lies at the origin O and its axis is coincident with the z-axis, as shown in (Figure 1) Use the above equation as an alternative means to derive the magnetic field at the center of the cylinder. Part D What is its vector product by unit vector F. F? Express your answer in terms of the variables z, R, o, and w, if needed. Enter the x, y, and z components of the vector product separated by commas. ΨΕ ΑΣΦ x= R²xw, - Rax cos d, - Rax sin d Submit Previous Answers Request Answer ?

icon
Related questions
Question
Any one qwestion ans please no hand writing solution
The law of Biot and Savart generalizes to the case of surface currents as B=0x da where is the local charge density, is the local velocity, and da is a differential area element. A cylindrical shell with radius R and length W carries a uniform charge Q and rotates about its axis with angular speed w. The center of the cylinder lies at the origin O and its axis is coincident with the x-axis, as shown in (Figure 1) Use the above equation as an alternative means to derive the magnetic field at the center of the cylinder. 0 dl dx R Part D What is its vector product by unit vector , x f? Express your answer in terms of the variables z, R, o, and w, if needed. Enter the x, y, and z components of the vector product separated by commas. —| ΑΣΦ x= R²x0,- Rax cos d, -Rox sin d Submit * Incorrect; Try Again; 4 attempts remaining Part E B = An area element on the cylinder may be written as da Rdx do. Use this and the previously established information to write the generalized law of Biot and Savart as a double integral. Evaluate the integral to determine the magnitude of the magnetic field B at the center of the cylinder. Express your answer in terms of the variables po, Q, R, W, o, and w, if needed. Submit Previous Answers Request Answer Part F IVE ΑΣΦ μ QR² w 2л(W² + R²) X Incorrect; Try Again; 5 attempts remaining Submit 1 Previous Answers Request Answer Determine the direction of the magnetic field B at the center of the cylinder. The magnetic field has only z-component. The magnetic field has only z-component. The magnetic field has only y-component. The magnetic field has all components. ✓ Correct ? Previous Answers
Transcribed Image Text:The law of Biot and Savart generalizes to the case of surface currents as B=0x da where is the local charge density, is the local velocity, and da is a differential area element. A cylindrical shell with radius R and length W carries a uniform charge Q and rotates about its axis with angular speed w. The center of the cylinder lies at the origin O and its axis is coincident with the x-axis, as shown in (Figure 1) Use the above equation as an alternative means to derive the magnetic field at the center of the cylinder. 0 dl dx R Part D What is its vector product by unit vector , x f? Express your answer in terms of the variables z, R, o, and w, if needed. Enter the x, y, and z components of the vector product separated by commas. —| ΑΣΦ x= R²x0,- Rax cos d, -Rox sin d Submit * Incorrect; Try Again; 4 attempts remaining Part E B = An area element on the cylinder may be written as da Rdx do. Use this and the previously established information to write the generalized law of Biot and Savart as a double integral. Evaluate the integral to determine the magnitude of the magnetic field B at the center of the cylinder. Express your answer in terms of the variables po, Q, R, W, o, and w, if needed. Submit Previous Answers Request Answer Part F IVE ΑΣΦ μ QR² w 2л(W² + R²) X Incorrect; Try Again; 5 attempts remaining Submit 1 Previous Answers Request Answer Determine the direction of the magnetic field B at the center of the cylinder. The magnetic field has only z-component. The magnetic field has only z-component. The magnetic field has only y-component. The magnetic field has all components. ✓ Correct ? Previous Answers
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer