Question 3, part (d) S.. 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. The magnitude of the emf in the loop at a time of 7 seconds is: V (Just enter the number in front of the unit V) Фв (Т- m?) 0.6 0.3 10 15 30 t (s) 20 -0.3 -0.6 25

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**Question 3, part (d)**

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 Ω.

The magnitude of the emf in the loop at a time of 7 seconds is: _______ V  
(Just enter the number in front of the unit V)

**Graph Explanation:**

- **Axes:** The horizontal axis represents time \( t \) in seconds (s), ranging from 0 to 30 seconds. The vertical axis represents magnetic flux \( \Phi_B \) in tesla square meters (T·m²), ranging from -0.6 to 0.6.

- **Graph Description:** The graph is a piecewise linear function. 
  - From 0 to 5 seconds, the flux increases from -0.3 to 0.6 T·m².
  - From 5 to 15 seconds, the flux remains constant at 0.6 T·m².
  - From 15 to 25 seconds, the flux decreases back down to -0.3 T·m².
  - From 25 to 30 seconds, the flux remains constant at -0.3 T·m².

Please enter your numeric answer and submit.

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Transcribed Image Text:**Question 3, part (d)** 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 Ω. The magnitude of the emf in the loop at a time of 7 seconds is: _______ V (Just enter the number in front of the unit V) **Graph Explanation:** - **Axes:** The horizontal axis represents time \( t \) in seconds (s), ranging from 0 to 30 seconds. The vertical axis represents magnetic flux \( \Phi_B \) in tesla square meters (T·m²), ranging from -0.6 to 0.6. - **Graph Description:** The graph is a piecewise linear function. - From 0 to 5 seconds, the flux increases from -0.3 to 0.6 T·m². - From 5 to 15 seconds, the flux remains constant at 0.6 T·m². - From 15 to 25 seconds, the flux decreases back down to -0.3 T·m². - From 25 to 30 seconds, the flux remains constant at -0.3 T·m². Please enter your numeric answer and submit. [Unanswered] [Save]
Expert Solution
Step 1

Solution:

 

Given Value,

 

Resistance (R)=0.24 Ω

 

Step 2

From the above-given Graph,

 

It is a graph which is plotted with Magnetic flux on the y-axis and time on the x-axis:

 

If we observe Magnetic flux  ΦB  linked with a circuit at any time t.

 

Here,

 

The Magnitude of the induced e.m.f is calculated at time t=7 sec is given as:

(electro motive force)e.m.f =-dΦBdte.m.f =dΦBdt   

From the graph,

 

The slope of the straight line is calculated  from 5 to 10 sec as:

 

 

Slope=ΦB2-ΦB1t2-t1        =0.6-(-0.3)10-5=0.95=0.18

 

 

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