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The force per meter between the two wires of a jumper cable being used to start a stalled car is 0.195 N/m.

(a) What is the current (in A) in the wires, given they are separated by 1.70 cm?

Answer :

The current in the wires, given that the force per meter between two wires of a jumper cable being used to start a stalled car is 0.195 N/m, and they are separated by 1.70 cm, is 8.08 A.

When two wires are used to provide electricity to a car's starter, a force per meter acts between them. To determine the current in the wires, this force is employed. It is given that the force per meter between two wires is 0.195 N/m, and the distance between the wires is 1.70 cm.

We'll use the formula F = μ0IL/2πd to figure out the current in the wires. The value of F is 0.195 N/m, the value of μ0 is 4π × 10-7 T m/A, the value of d is 1.70 cm = 0.0170 m, and the value of L is unknown. Substituting these values in the equation, we get 0.195 = (4π × 10-7) L I / (2 × π × 0.0170). Simplifying the expression, we get: L I = 5.598 × 10-5, or L I = 0.00005598, or LI = 5.598 × 10-3A. From this, we get that the current in the wires is 8.08 A, by substituting the value of L and calculating the value of I.

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