Question 3: Induction (a) The accompanying figure shows a single-turn rectangular coil that has a resistance of 2.0/2. The magnetic field at all points inside the coil varies according to B = Boe-at, where Bo = 0.25T and a = 200Hz. What is the current induced in the coil at (a) t = 0.001s, (b) 0.002 s, (c) 2.0 s? B x x X x x x 5.0 cm X x X x x 2.0 cm X (b) How would the answers to the preceding problem change if the coil consisted of 20 closely spaced turns? Note that the resistance would increase by 2.002 per coil as well.

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**Question 3: Induction**

(a) The accompanying figure shows a single-turn rectangular coil that has a resistance of 2.0Ω. The magnetic field at all points inside the coil varies according to \( B = B_0 e^{-\alpha t} \), where \( B_0 = 0.25T \) and \( \alpha = 200Hz \). What is the current induced in the coil at (a) \( t = 0.001s \), (b) \( 0.002s \), (c) \( 2.0s \)?

*Diagram Explanation*: The diagram depicts a rectangular coil with dimensions 5.0 cm in width and 2.0 cm in height. The magnetic field is represented by 'x' marks, indicating a uniform magnetic field perpendicular to the plane of the coil.

(b) How would the answers to the preceding problem change if the coil consisted of 20 closely spaced turns? Note that the resistance would increase by 2.0Ω per coil as well.
Transcribed Image Text:**Question 3: Induction** (a) The accompanying figure shows a single-turn rectangular coil that has a resistance of 2.0Ω. The magnetic field at all points inside the coil varies according to \( B = B_0 e^{-\alpha t} \), where \( B_0 = 0.25T \) and \( \alpha = 200Hz \). What is the current induced in the coil at (a) \( t = 0.001s \), (b) \( 0.002s \), (c) \( 2.0s \)? *Diagram Explanation*: The diagram depicts a rectangular coil with dimensions 5.0 cm in width and 2.0 cm in height. The magnetic field is represented by 'x' marks, indicating a uniform magnetic field perpendicular to the plane of the coil. (b) How would the answers to the preceding problem change if the coil consisted of 20 closely spaced turns? Note that the resistance would increase by 2.0Ω per coil as well.
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