Physics 2102: Circuit Analysis with Inductors - Activity Solutions, Assignments of Physics

Solutions to activities involving the analysis of circuits with inductors, including determining magnetic field directions, current directions, and emf inductions. Also includes calculating current through a battery in a circuit with resistors and inductors.

Typology: Assignments

2019/2020

Uploaded on 06/15/2020

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Physics 2102 Section 001 Schafer March 20, 2009.
Activity 1: Do this as soon as you sit down!
The figure shows two circuits in which a conducting bar is slid at the same speed v through the same
uniform magnetic field, along a set of rails. The length of the bar is 2L in circuit 1 and L in circuit 2.
The current induced in circuit 1 is counter-clockwise.
(a) Is the direction of the magnetic field into or out of the page?
(b) Is the direction of the current induced in circuit 2 clockwise or counterclockwise?
(c) Is the emf induced in circuit 1 larger than, smaller than, or the same as that in circuit 2?
Activity 2:
The figure on the left shows the variation with time of the potential difference VR across a resistor in
three circuits wired as shown in the figure on the right. The circuits contain the same resistance R and
emf E but different inductance L. Rank the circuits according to the value of L, greatest first.
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Physics 2102 Section 001 Schafer March 20, 2009.

Activity 1: Do this as soon as you sit down!

The figure shows two circuits in which a conducting bar is slid at the same speed v through the same uniform magnetic field, along a set of rails. The length of the bar is 2L in circuit 1 and L in circuit 2. The current induced in circuit 1 is counter-clockwise. (a) Is the direction of the magnetic field into or out of the page? (b) Is the direction of the current induced in circuit 2 clockwise or counterclockwise? (c) Is the emf induced in circuit 1 larger than, smaller than, or the same as that in circuit 2?

Activity 2:

The figure on the left shows the variation with time of the potential difference VR across a resistor in three circuits wired as shown in the figure on the right. The circuits contain the same resistance R and emf E but different inductance L. Rank the circuits according to the value of L, greatest first.

Activity 3:

The figure shows a circuit with an ideal battery with an emf E = 18 V, three resistors each with resistance R = 18 Ω, and two inductors each with inductance L = 2.0 mH. (i) Calculate the current through the battery immediately after the battery is connected (t = 0): (ii) Calculate the current through the battery a long time after the battery is connected (t = ∞):