A bicycle wheel is mounted vertically on a metal axle in a horizontal magnetic field, as shown in the diagram. Sliding connections are made to the metal edge of the wheel and to the metal axle. (b) The wheel rotates five times per second and has a radius of 15 cm . The magnetic flux density may be assumed to be uniform and of value 5 . 0 × 10 - 3 T . (i) the area swept out each second by one spoke

Given, The wheel rotates five times per second f = 5 Hz , Radius R = 15 cm = 0 . 15 m So, we know that Area per second = πR 2 f Then, by putting the values we get Area per second = πR 2 f = π × ( 0 . 15 ) 2 × 5 Area per second = 0 . 353 ≈ 0 . 35 m 2 s – 1

A bicycle wheel is mounted vertically on a metal axle in a horizontal magnetic field, as shown in the diagram. Sliding connections are made to the metal edge of the wheel and to the metal axle. (b) The wheel rotates five times per second and has a radius of 15 cm The magnetic flux density may be assumed to be uniform and of value 5 . 0 × 10 - 3 T . (ii) the induced e.m.f. between the contacts.

Given, The wheel rotates five times per second f = 5 Hz , Radius R = 15 cm = 0 . 15 m So, we know that Area per second = πR 2 f Then, by putting the values we get Area per second = πR 2 f = π × ( 0 . 15 ) 2 × 5 Area per second = 0 . 353 ≈ 0 . 35 m 2 s – 1 the area per second = 0 . 353 m 2 s - 1 , The magnetic flux density = 5 . 0 × 10 - 3 T We know that Induced e.m.f E = ∆ ( NΦ ) ∆ t = ∆ BA ∆ t = 0 . 353 × 5 × 10 - 3 E = 1 . 77 × 10 – 3 ≈ 1 . 8 × 10 – 3 V So, the induced e.m.f. between the contacts. = 1 . 77 × 10 – 3 ≈ 1 . 8 × 10 – 3 V

E M B I B E

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 26 - Electromagnetic Induction>EXAM-STYLE QUESTIONS>Q 9

EASY

AS and A Level

IMPORTANT

Earn 100

A bicycle wheel is mounted vertically on a metal axle in a horizontal magnetic field, as shown in the diagram. Sliding connections are made to the metal edge of the wheel and to the metal axle.

(a) (i) Explain why an e.m.f. is induced when the wheel rotates.

Important Questions on Electromagnetic Induction

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 26 - Electromagnetic Induction>EXAM-STYLE QUESTIONS>Q 9

A bicycle wheel is mounted vertically on a metal axle in a horizontal magnetic field, as shown in the diagram. Sliding connections are made to the metal edge of the wheel and to the metal axle.

Question Image

(a) (ii) State and explain two ways in which this e.m.f. can be increased.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 26 - Electromagnetic Induction>EXAM-STYLE QUESTIONS>Q 9

A bicycle wheel is mounted vertically on a metal axle in a horizontal magnetic field, as shown in the diagram. Sliding connections are made to the metal edge of the wheel and to the metal axle.

Question Image

(b) The wheel rotates five times per second and has a radius of $15 cm .$ The magnetic flux density may be assumed to be uniform and of value $5.0 \times 10^{- 3}$ $T .$

(i) the area swept out each second by one spoke

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 26 - Electromagnetic Induction>EXAM-STYLE QUESTIONS>Q 9

A bicycle wheel is mounted vertically on a metal axle in a horizontal magnetic field, as shown in the diagram. Sliding connections are made to the metal edge of the wheel and to the metal axle.

Question Image

(b) The wheel rotates five times per second and has a radius of $15 cm$ The magnetic flux density may be assumed to be uniform and of value $5.0 \times 10^{- 3}$ $T .$

(ii) the induced e.m.f. between the contacts.