hw10 - wilson(kw22588 – HW10 – Mackie –(20224 1 This...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: wilson (kw22588) – HW10 – Mackie – (20224) 1 This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A solenoid 6 . 3 cm in radius and 40 m in length has 13800 uniformly spaced turns and carries a current of 8 . 8 A. Consider a plane circular surface of radius 3 . 1 cm located at the center of the solenoid with its axis coincident with the axis of the solenoid. What is the magnetic flux Φ through this circular surface?(1 Wb = 1 T m 2 ) Correct answer: 1 . 15182 × 10 − 5 Wb. Explanation: Let : ℓ = 40 m , N = 13800 , I = 8 . 8 A , and r = 3 . 1 cm = 0 . 031 m . Basic Concepts: B = μ N I l I = μ n I Φ B = integraldisplay vector B · d vector A The magnetic field in the solenoid is given by B = μ I N ℓ Call A the area of the plane circular surface. The the magnetic flux through this surface is Φ = B A = μ I N ℓ π r 2 = μ (8 . 8 A)(13800) 40 m π (0 . 031 m) 2 = 1 . 15182 × 10 − 5 Wb . The radius of the solenoid is not required since it is smaller that the plane circular surface. 002 (part 1 of 2) 10.0 points A magnetic field of 1 T is perpendicular to a square coil of 12 turns. The length of each side of the coil is 4 cm. Find the magnetic flux through coil. Correct answer: 19 . 2 mWb. Explanation: Let : B = 1 T , N = 12 , ℓ = 4 cm = 0 . 04 m , and θ = 0 ◦ . The magnetic flux is Φ = N B A cos θ = N B ℓ 2 cos θ = 12(1 T) (0 . 04 m) 2 cos 0 ◦ · 10 3 mWb 1 Wb = 19 . 2 mWb . 003 (part 2 of 2) 10.0 points Find the magnetic flux through the coil if the magnetic field makes an angle of 60 ◦ with the normal to the plane of the coil. Correct answer: 9 . 6 mWb. Explanation: Let : θ = 60 ◦ . The magnetic flux is Φ = N B A cos θ = N B ℓ 2 cos θ = 12(1 T) (0 . 04 m) 2 cos 60 ◦ · 10 3 mWb 1 Wb = 9 . 6 mWb . keywords: 004 10.0 points A wire in the shape of an equilateral trian- gle 7 . 8 cm on a side is placed in a uniform magnetic field of magnitude 0 . 11 T. wilson (kw22588) – HW10 – Mackie – (20224) 2 If the field makes an angle of 53 . 7 ◦ with the plane of the triangle, determine the magnetic flux through the triangle....
View Full Document

Page1 / 5

hw10 - wilson(kw22588 – HW10 – Mackie –(20224 1 This...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online