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11 In Fig. 29-42, two long straight wires are perpendicular to the page and separated by distance d₁ = 0.75 cm. Wire 1 carries 6.5 A into the page. What are the (a) magnitude and (b) direction (into or out of the page) of the current in wire 2 if the net magnetic field due to the two currents is zero at point P lo- cated at distance d₂ = 1.50 cm from Figure 29-42 Problem 11. wire 22 Wire 10- Wire 20 Р

11 In Fig. 29-42, two long straight wires are perpendicular to the page and separated by distance d₁ = 0.75 cm. Wire 1 carries 6.5 A into the page. What are the (a) magnitude and (b) direction (into or out of the page) of the current in wire 2 if the net magnetic field due to the two currents is zero at point P lo- cated at distance d₂ = 1.50 cm from Figure 29-42 Problem 11. wire 22 Wire 10- Wire 20 Р

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**Problem 11** In Fig. 29-42, two long straight wires are perpendicular to the page and separated by distance \( d_1 = 0.75 \, \text{cm} \). Wire 1 carries \( 6.5 \, \text{A} \) into the page. What are the (a) magnitude and (b) direction (into or out of the page) of the current in wire 2 if the net magnetic field due to the two currents is zero at point \( P \) located at distance \( d_2 = 1.50 \, \text{cm} \) from wire 2? **Diagram Explanation** The diagram shows two wires: Wire 1 and Wire 2. - **Wire 1**: Indicated with a circle with an "X", representing that the current flows into the page. - **Wire 2**: Indicated with a circle with a dot, representing that the current can flow out of the page (though this is what needs to be determined). - Wire 1 and Wire 2 are separated by a distance \( d_1 = 0.75 \, \text{cm} \). - Point \( P \) is located at distance \( d_2 = 1.50 \, \text{cm} \) from Wire 2. Figure 29-42 illustrates the positioning of the wires and point \( P \), essential for solving the problem regarding the magnetic fields created by the currents through these wires.
Transcribed Image Text:**Problem 11** In Fig. 29-42, two long straight wires are perpendicular to the page and separated by distance \( d_1 = 0.75 \, \text{cm} \). Wire 1 carries \( 6.5 \, \text{A} \) into the page. What are the (a) magnitude and (b) direction (into or out of the page) of the current in wire 2 if the net magnetic field due to the two currents is zero at point \( P \) located at distance \( d_2 = 1.50 \, \text{cm} \) from wire 2? **Diagram Explanation** The diagram shows two wires: Wire 1 and Wire 2. - **Wire 1**: Indicated with a circle with an "X", representing that the current flows into the page. - **Wire 2**: Indicated with a circle with a dot, representing that the current can flow out of the page (though this is what needs to be determined). - Wire 1 and Wire 2 are separated by a distance \( d_1 = 0.75 \, \text{cm} \). - Point \( P \) is located at distance \( d_2 = 1.50 \, \text{cm} \) from Wire 2. Figure 29-42 illustrates the positioning of the wires and point \( P \), essential for solving the problem regarding the magnetic fields created by the currents through these wires.
**Problem 11:** a) What is the magnitude and direction (i, j, k) of \( \mathbf{B_1} \) at point P? b) Determine the direction of \( \mathbf{B_2} \) to get \( \mathbf{B_{net}} = 0 \) at point P. c) Determine the direction of \( I_2 \) to produce \( \mathbf{B_2} \) as in part b. d) What is the magnitude of \( I_2 \) to get \( \mathbf{B_{net}} = 0 \) at point P?
Transcribed Image Text:**Problem 11:** a) What is the magnitude and direction (i, j, k) of \( \mathbf{B_1} \) at point P? b) Determine the direction of \( \mathbf{B_2} \) to get \( \mathbf{B_{net}} = 0 \) at point P. c) Determine the direction of \( I_2 \) to produce \( \mathbf{B_2} \) as in part b. d) What is the magnitude of \( I_2 \) to get \( \mathbf{B_{net}} = 0 \) at point P?
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