Question 3, part (c) A graph of the magnetic flux over time through a single circular loop is shown below. The circular loop is made out of a conducting material and has a resistance of 0.24 Q. How does the magnitude of the induced current /ind compare at a time of 7 seconds and a time of 17 seconds? OB (T - m²) 0.6 0.3 10 15 20 25 30 t (s) -0.3 -0.6 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. lind at 7 seconds is SMALLER THAN Iind at 17 seconds a lind at 7 seconds is LARGER THAN /ind at 17 seconds lind is ZERO at both times lind is equal in magnitude at both times but NOT equal to ZERO

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### Magnetic Flux and Induced Current

**Question 3, part (c)**

A graph of the magnetic flux over time through a single circular loop is shown below. The circular loop is made out of conducting material and has a resistance of 0.24 Ω.

**Question:**
How does the magnitude of the induced current \( I_{\text{ind}} \) compare at a time of 7 seconds and a time of 17 seconds?

**Graph Analysis:**
- The y-axis represents the magnetic flux \( \Phi_B \) in tesla square meters (T·m²).
- The x-axis represents time in seconds (s).

**Graph Description:**
- From 0 to 10 seconds, the magnetic flux increases linearly from 0 T·m² to 0.6 T·m².
- From 10 to 20 seconds, the flux remains constant at 0.6 T·m².
- From 20 to 30 seconds, the flux decreases linearly back to 0 T·m².

**Options for Comparison of Induced Current \( I_{\text{ind}} \):**
a. \( I_{\text{ind}} \) at 7 seconds is SMALLER THAN \( I_{\text{ind}} \) at 17 seconds
b. \( I_{\text{ind}} \) at 7 seconds is LARGER THAN \( I_{\text{ind}} \) at 17 seconds
c. \( I_{\text{ind}} \) is ZERO at both times
d. \( I_{\text{ind}} \) is equal in magnitude at both times but NOT equal to ZERO

Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
Transcribed Image Text:### Magnetic Flux and Induced Current **Question 3, part (c)** A graph of the magnetic flux over time through a single circular loop is shown below. The circular loop is made out of conducting material and has a resistance of 0.24 Ω. **Question:** How does the magnitude of the induced current \( I_{\text{ind}} \) compare at a time of 7 seconds and a time of 17 seconds? **Graph Analysis:** - The y-axis represents the magnetic flux \( \Phi_B \) in tesla square meters (T·m²). - The x-axis represents time in seconds (s). **Graph Description:** - From 0 to 10 seconds, the magnetic flux increases linearly from 0 T·m² to 0.6 T·m². - From 10 to 20 seconds, the flux remains constant at 0.6 T·m². - From 20 to 30 seconds, the flux decreases linearly back to 0 T·m². **Options for Comparison of Induced Current \( I_{\text{ind}} \):** a. \( I_{\text{ind}} \) at 7 seconds is SMALLER THAN \( I_{\text{ind}} \) at 17 seconds b. \( I_{\text{ind}} \) at 7 seconds is LARGER THAN \( I_{\text{ind}} \) at 17 seconds c. \( I_{\text{ind}} \) is ZERO at both times d. \( I_{\text{ind}} \) is equal in magnitude at both times but NOT equal to ZERO Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
Expert Solution
Step 1

Induced emf is rate of change of magnetic flux.

εind=-NdφBdt

Induced Current is directly proportional to induced emf and given by

Iind=εindR

GIVEN :

R=0.24Ω

N = 1

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