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Rectangular Coil A rectangular coil with 5000 turns that has a resistance of 4.792 is coplanar with a long wire which carries a current which depends on time according to I, exp(-t/r), where Io = 4.5 A and T = 5.5 s. The rectangular loop has a width of W = 3 cm and length L = 4.2 cm. The near side of the loop is a distance D= 5.5 cm from the wire. i(t) OneTurnFlux O Emf W R What is the magnetic flux in ONE turn of the coil at t = 3.4 s? flux 8.87*10^-9 V's What is the emf in the entire coil at t = 3.4 s? For the purposes of entering a sign, let the positive direction for the emf in the loop be in the clockwise direction. em f=8.06*10^-6 V Power What is the power dissipated in the entire coil at t = 3.4 s? power 1.38*10^-11 W Energy What is the total energy dissipated in the entire coil from t=0 to t = 3.4 s? energy -4.69*10^-11 J A ^

Rectangular Coil A rectangular coil with 5000 turns that has a resistance of 4.792 is coplanar with a long wire which carries a current which depends on time according to I, exp(-t/r), where Io = 4.5 A and T = 5.5 s. The rectangular loop has a width of W = 3 cm and length L = 4.2 cm. The near side of the loop is a distance D= 5.5 cm from the wire. i(t) OneTurnFlux O Emf W R What is the magnetic flux in ONE turn of the coil at t = 3.4 s? flux 8.87*10^-9 V's What is the emf in the entire coil at t = 3.4 s? For the purposes of entering a sign, let the positive direction for the emf in the loop be in the clockwise direction. em f=8.06*10^-6 V Power What is the power dissipated in the entire coil at t = 3.4 s? power 1.38*10^-11 W Energy What is the total energy dissipated in the entire coil from t=0 to t = 3.4 s? energy -4.69*10^-11 J A ^

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**Rectangular Coil Analysis** A rectangular coil with 5000 turns and a resistance of 4.7Ω is coplanar with a long wire carrying a time-dependent current, \( I_0 \exp \left(-t/\tau\right) \), where \( I_0 = 4.5 \, \text{A} \) and \( \tau = 5.5 \, \text{s} \). The dimensions of the rectangular loop are width \( W = 3 \, \text{cm} \) and length \( L = 4.2 \, \text{cm} \). The near side of the loop is at a distance \( D = 5.5 \, \text{cm} \) from the wire. **Diagram Explanation:** The diagram shows a rectangle to represent the coil, described by labeled dimensions: - Width (\( W \)) - Length (\( L \)) - Distance from the wire (\( D \)) The coil is connected by a resistor noted as \( R \). An arrow labeled \( i(t) \) indicates the direction of current influenced by the external wire. **Magnetic Flux:** - **Question:** What is the magnetic flux in ONE turn of the coil at \( t = 3.4 \, \text{s} \)? - **Answer:** \( \text{flux} = 8.87 \times 10^{-9} \, \text{V}\cdot\text{s} \) **Electromotive Force (Emf):** - **Question:** What is the emf in the entire coil at \( t = 3.4 \, \text{s} \)? - **Note:** The positive direction for the emf is clockwise. - **Answer:** \( \text{emf} = 8.06 \times 10^{-6} \, \text{V} \) **Power:** - **Question:** What is the power dissipated in the entire coil at \( t = 3.4 \, \text{s} \)? - **Answer:** \( \text{power} = 1.38 \times 10^{-11} \, \text{W} \) **Energy:** - **Question:** What is the total energy dissipated in the entire coil from \( t = 0 \) to \( t = 3.4 \, \text{s
Transcribed Image Text:**Rectangular Coil Analysis** A rectangular coil with 5000 turns and a resistance of 4.7Ω is coplanar with a long wire carrying a time-dependent current, \( I_0 \exp \left(-t/\tau\right) \), where \( I_0 = 4.5 \, \text{A} \) and \( \tau = 5.5 \, \text{s} \). The dimensions of the rectangular loop are width \( W = 3 \, \text{cm} \) and length \( L = 4.2 \, \text{cm} \). The near side of the loop is at a distance \( D = 5.5 \, \text{cm} \) from the wire. **Diagram Explanation:** The diagram shows a rectangle to represent the coil, described by labeled dimensions: - Width (\( W \)) - Length (\( L \)) - Distance from the wire (\( D \)) The coil is connected by a resistor noted as \( R \). An arrow labeled \( i(t) \) indicates the direction of current influenced by the external wire. **Magnetic Flux:** - **Question:** What is the magnetic flux in ONE turn of the coil at \( t = 3.4 \, \text{s} \)? - **Answer:** \( \text{flux} = 8.87 \times 10^{-9} \, \text{V}\cdot\text{s} \) **Electromotive Force (Emf):** - **Question:** What is the emf in the entire coil at \( t = 3.4 \, \text{s} \)? - **Note:** The positive direction for the emf is clockwise. - **Answer:** \( \text{emf} = 8.06 \times 10^{-6} \, \text{V} \) **Power:** - **Question:** What is the power dissipated in the entire coil at \( t = 3.4 \, \text{s} \)? - **Answer:** \( \text{power} = 1.38 \times 10^{-11} \, \text{W} \) **Energy:** - **Question:** What is the total energy dissipated in the entire coil from \( t = 0 \) to \( t = 3.4 \, \text{s
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