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4) What is the induced current in the loop at t₁? Enter your answer in mA. A positive current is counterclockwise around the loop. mA Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 5) What is the magnetic flux through the loop at t₂? Enter your answer in units of mT m². mT Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 6) What is the magnitude of the EMF induced in the loop at t₂? Enter your answer in mV. mV Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. + 7) What is the induced current in the loop at t₂? Enter your answer in mA. A positive current is counterclockwise around the loop.

4) What is the induced current in the loop at t₁? Enter your answer in mA. A positive current is counterclockwise around the loop. mA Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 5) What is the magnetic flux through the loop at t₂? Enter your answer in units of mT m². mT Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. 6) What is the magnitude of the EMF induced in the loop at t₂? Enter your answer in mV. mV Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question. + 7) What is the induced current in the loop at t₂? Enter your answer in mA. A positive current is counterclockwise around the loop.

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### Induced Current and Magnetic Flux in a Loop #### 4) Induced Current at \( t_1 \) - **Question:** What is the induced current in the loop at \( t_1 \)? Enter your answer in milliamperes (mA). A positive current is counterclockwise around the loop. - **Submission:** - Input field with "mA" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. #### 5) Magnetic Flux at \( t_2 \) - **Question:** What is the magnetic flux through the loop at \( t_2 \)? Enter your answer in units of millitesla-square meters (\( \text{mT} \cdot \text{m}^2 \)). - **Submission:** - Input field with "mT" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. #### 6) Induced EMF at \( t_2 \) - **Question:** What is the magnitude of the EMF induced in the loop at \( t_2 \)? Enter your answer in millivolts (mV). - **Submission:** - Input field with "mV" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. #### 7) Induced Current at \( t_2 \) - **Question:** What is the induced current in the loop at \( t_2 \)? Enter your answer in milliamperes (mA). A positive current is counterclockwise around the loop. - **Submission:** - Input field with "mA" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. **Note:** Ensure your answers comply with the correct units and observe the allowable attempts for submissions.
Transcribed Image Text:### Induced Current and Magnetic Flux in a Loop #### 4) Induced Current at \( t_1 \) - **Question:** What is the induced current in the loop at \( t_1 \)? Enter your answer in milliamperes (mA). A positive current is counterclockwise around the loop. - **Submission:** - Input field with "mA" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. #### 5) Magnetic Flux at \( t_2 \) - **Question:** What is the magnetic flux through the loop at \( t_2 \)? Enter your answer in units of millitesla-square meters (\( \text{mT} \cdot \text{m}^2 \)). - **Submission:** - Input field with "mT" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. #### 6) Induced EMF at \( t_2 \) - **Question:** What is the magnitude of the EMF induced in the loop at \( t_2 \)? Enter your answer in millivolts (mV). - **Submission:** - Input field with "mV" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. #### 7) Induced Current at \( t_2 \) - **Question:** What is the induced current in the loop at \( t_2 \)? Enter your answer in milliamperes (mA). A positive current is counterclockwise around the loop. - **Submission:** - Input field with "mA" label. - Submission limit information: You currently have 0 submissions for this question. Only 10 submissions are allowed. You can make 10 more submissions for this question. **Note:** Ensure your answers comply with the correct units and observe the allowable attempts for submissions.
**Description of Experiment** An equilateral triangular conducting loop with sides measuring 4.6 cm and a resistance of 3.2 Ω is held at rest in the x-y plane. A uniform, 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 and its equation is given by: \[ B(t) = B_o \sin(\omega t) \] where: - \( B_o = 2.4 \) Teslas - \( \omega = 2\pi/T \) \( T \) represents the period for the changing magnetic field. **Graph and Diagram Explanation** - **Left Diagram:** - The diagram shows a gray region labeled "B – field Region" with an equilateral triangle inside. Each side of the triangle is labeled \( a \). - **Right Graph:** - The graph depicts the variation of the magnetic field component \( B_z \) over time \( t \). - The vertical axis represents \( B_z \), ranging from \(-B_o\) to \(B_o\). - The horizontal axis represents time \( t \), marked with time intervals \( t_1, t_2, \ldots, t_8 \). - The sinusoidal curve indicates the oscillation of \( B_z \) over time, with peaks at \( B_o \) and troughs at \(-B_o\). This setup is used to study the effects of a time-varying magnetic field on the conducting loop, exploring concepts such as electromagnetic induction.
Transcribed Image Text:**Description of Experiment** An equilateral triangular conducting loop with sides measuring 4.6 cm and a resistance of 3.2 Ω is held at rest in the x-y plane. A uniform, 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 and its equation is given by: \[ B(t) = B_o \sin(\omega t) \] where: - \( B_o = 2.4 \) Teslas - \( \omega = 2\pi/T \) \( T \) represents the period for the changing magnetic field. **Graph and Diagram Explanation** - **Left Diagram:** - The diagram shows a gray region labeled "B – field Region" with an equilateral triangle inside. Each side of the triangle is labeled \( a \). - **Right Graph:** - The graph depicts the variation of the magnetic field component \( B_z \) over time \( t \). - The vertical axis represents \( B_z \), ranging from \(-B_o\) to \(B_o\). - The horizontal axis represents time \( t \), marked with time intervals \( t_1, t_2, \ldots, t_8 \). - The sinusoidal curve indicates the oscillation of \( B_z \) over time, with peaks at \( B_o \) and troughs at \(-B_o\). This setup is used to study the effects of a time-varying magnetic field on the conducting loop, exploring concepts such as electromagnetic induction.
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