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A circular conducting loop of radius 26.6 cm and resistance 4.2 is held at rest in the x-y plane. A uniform but time varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of the magnetic field changes according to the graph shown. • From t = 0 s to t = 4.6 s, the magnetic field is given by: B(t) = Ct³ where C is a constant with value C = 55 mT/s³. • From t = 4.6 s to t = 7 s, the magnetic field has a constant value of Bo. • From t = 7 s to t = 12.5 s, the magnetic field linearly decreases from Bo to -Bo/2.

A circular conducting loop of radius 26.6 cm and resistance 4.2 is held at rest in the x-y plane. A uniform but time varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of the magnetic field changes according to the graph shown. • From t = 0 s to t = 4.6 s, the magnetic field is given by: B(t) = Ct³ where C is a constant with value C = 55 mT/s³. • From t = 4.6 s to t = 7 s, the magnetic field has a constant value of Bo. • From t = 7 s to t = 12.5 s, the magnetic field linearly decreases from Bo to -Bo/2.

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A circular conducting loop of radius 26.6 cm and resistance 4.2 Ω is held at rest in the x-y plane. A uniform but time-varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of the magnetic field changes according to the graph shown. - From \( t = 0 \, \text{s} \) to \( t = 4.6 \, \text{s} \), the magnetic field is given by: \( B(t) = Ct^3 \) where \( C \) is a constant with value \( C = 55 \, \text{mT/s}^3 \). - From \( t = 4.6 \, \text{s} \) to \( t = 7 \, \text{s} \), the magnetic field has a constant value of \( B_0 \). - From \( t = 7 \, \text{s} \) to \( t = 12.5 \, \text{s} \), the magnetic field linearly decreases from \( B_0 \) to \( -B_0/2 \). ### Diagram Explanation: - **Left Diagram**: Shows the circular loop in the x-y plane and the region where the magnetic field \( B \) is present. - **Right Graph**: Displays the time-dependent behavior of the magnetic field's z-component \( B_z \) against time \( t \): - **Curve (0 to \( t_1 \))**: Represents the increase of the magnetic field following a cubic relation. - **Horizontal Line (\( t_1 \) to \( t_2 \))**: Represents the constant magnetic field value \( B_0 \). - **Slope (\( t_2 \) to \( t_3 \))**: Represents the linear decrease in magnetic field from \( B_0 \) to \( -B_0/2 \). --- ### Questions: 1) **What is the magnitude of the magnetic flux through the loop at \( t = 3 \, \text{s} \)? Enter your answer in units of \( T \cdot \text{m}^2 \).** Answer Box: ``` T · m² ``` You currently have 0 submissions for this question. Only 10 submissions are allowed. You
Transcribed Image Text:A circular conducting loop of radius 26.6 cm and resistance 4.2 Ω is held at rest in the x-y plane. A uniform but time-varying magnetic field exists which can point either out of the page (+z) or into the page (-z). The z-component of the magnetic field changes according to the graph shown. - From \( t = 0 \, \text{s} \) to \( t = 4.6 \, \text{s} \), the magnetic field is given by: \( B(t) = Ct^3 \) where \( C \) is a constant with value \( C = 55 \, \text{mT/s}^3 \). - From \( t = 4.6 \, \text{s} \) to \( t = 7 \, \text{s} \), the magnetic field has a constant value of \( B_0 \). - From \( t = 7 \, \text{s} \) to \( t = 12.5 \, \text{s} \), the magnetic field linearly decreases from \( B_0 \) to \( -B_0/2 \). ### Diagram Explanation: - **Left Diagram**: Shows the circular loop in the x-y plane and the region where the magnetic field \( B \) is present. - **Right Graph**: Displays the time-dependent behavior of the magnetic field's z-component \( B_z \) against time \( t \): - **Curve (0 to \( t_1 \))**: Represents the increase of the magnetic field following a cubic relation. - **Horizontal Line (\( t_1 \) to \( t_2 \))**: Represents the constant magnetic field value \( B_0 \). - **Slope (\( t_2 \) to \( t_3 \))**: Represents the linear decrease in magnetic field from \( B_0 \) to \( -B_0/2 \). --- ### Questions: 1) **What is the magnitude of the magnetic flux through the loop at \( t = 3 \, \text{s} \)? Enter your answer in units of \( T \cdot \text{m}^2 \).** Answer Box: ``` T · m² ``` You currently have 0 submissions for this question. Only 10 submissions are allowed. You
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