### Exercise on Magnetic Fields#### (a) Estimating Magnetic Field from a Lightning BoltA 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 WireThe 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 PThe 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 ExplanationThe 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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Answered: (a) A typical current in a lightning…

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