College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Transcribed Image Text:The switch \( S \) in the figure below is closed at \( t = 0 \) and the current at a reference time \( t_{\text{ref}} > 0 \) is \( I_{\text{ref}} \). If the circuit is changed as described below and the switch is again closed at \( t = 0 \), determine whether the current \( I \) at the same time \( t_{\text{ref}} \) would be greater than, less than, or equal to the original value of \( I_{\text{ref}} \).
**Diagram Description:**
The circuit diagram includes a battery with voltage \( \mathcal{E} \), a resistor \( R \), an inductor \( L \), and a switch \( S \). These elements are connected in series forming a loop:
- The battery is located at the bottom left.
- The resistor is represented by a zigzag symbol between points \( a \) and \( b \).
- The inductor is represented by a coil symbol next to the resistor.
- The switch \( S \) is shown at the bottom of the circuit.
**Questions:**
(a) Both the battery voltage \( \mathcal{E} \) and the resistance \( R \) are doubled.
- ○ greater than
- ○ less than
- ○ equal to
(b) The inductance \( L \) is doubled.
- ○ greater than
- ○ less than
- ○ equal to
(c) The battery voltage \( \mathcal{E} \), the resistance \( R \), and the inductance \( L \) are each doubled.
- ○ greater than
- ○ less than
- ○ equal to
**HINT**
To determine the effect on current, consider the time constant and the overall impedance changes in the circuit due to modifications.
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