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(a) A typical current in a lightning bolt is 10¹ A. Estimate the magnetic field 1 m from the bolt. (b) The magnitude of the magnetic field 50 cm from a long, thin, straight wire is 8.0μµT. What is the current through the long wire? (c) The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I₁ = 10 A and I₂ = 20A, what is the magnetic field at point P? 4 15.0 cm .P 5.0 cm 1₂ 2

(a) A typical current in a lightning bolt is 10¹ A. Estimate the magnetic field 1 m from the bolt. (b) The magnitude of the magnetic field 50 cm from a long, thin, straight wire is 8.0μµT. What is the current through the long wire? (c) The two long, parallel wires shown in the accompanying figure carry currents in the same direction. If I₁ = 10 A and I₂ = 20A, what is the magnetic field at point P? 4 15.0 cm .P 5.0 cm 1₂ 2

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### Exercise on Magnetic Fields #### (a) Estimating Magnetic Field from a Lightning Bolt A typical current in a lightning bolt is \(10^4 \, \text{A}\). Estimate the magnetic field 1 meter from the bolt. #### (b) Calculating Current through a Wire The magnitude of the magnetic field 50 cm from a long, thin, straight wire is \(8.0 \, \mu\text{T}\). What is the current through the long wire? #### (c) Determining Magnetic Field at Point P The accompanying diagram shows two long, parallel wires carrying currents in the same direction. - The current \(I_1 = 10 \, \text{A}\) is in wire 1. - The current \(I_2 = 20 \, \text{A}\) is in wire 2. Both wires are separated as follows: - The distance between wire 1 and point P is 15.0 cm. - The distance between wire 2 and point P is 5.0 cm. What is the magnetic field at point P? ### Diagram Explanation The diagram illustrates two vertical wires with currents \(I_1\) and \(I_2\) flowing in the same upward direction. Point P is located on a horizontal line between the two wires, closer to wire \(I_2\). - The distance between the two wires is the sum of 15.0 cm and 5.0 cm, totaling 20.0 cm. - Point P is 15.0 cm from wire \(I_1\) and 5.0 cm from wire \(I_2\). The task is to calculate the resultant magnetic field at point P due to the currents in both wires.
Transcribed Image Text:### Exercise on Magnetic Fields #### (a) Estimating Magnetic Field from a Lightning Bolt A typical current in a lightning bolt is \(10^4 \, \text{A}\). Estimate the magnetic field 1 meter from the bolt. #### (b) Calculating Current through a Wire The magnitude of the magnetic field 50 cm from a long, thin, straight wire is \(8.0 \, \mu\text{T}\). What is the current through the long wire? #### (c) Determining Magnetic Field at Point P The accompanying diagram shows two long, parallel wires carrying currents in the same direction. - The current \(I_1 = 10 \, \text{A}\) is in wire 1. - The current \(I_2 = 20 \, \text{A}\) is in wire 2. Both wires are separated as follows: - The distance between wire 1 and point P is 15.0 cm. - The distance between wire 2 and point P is 5.0 cm. What is the magnetic field at point P? ### Diagram Explanation The diagram illustrates two vertical wires with currents \(I_1\) and \(I_2\) flowing in the same upward direction. Point P is located on a horizontal line between the two wires, closer to wire \(I_2\). - The distance between the two wires is the sum of 15.0 cm and 5.0 cm, totaling 20.0 cm. - Point P is 15.0 cm from wire \(I_1\) and 5.0 cm from wire \(I_2\). The task is to calculate the resultant magnetic field at point P due to the currents in both wires.
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