The wire in (Figure 1) carries current I2, which is 20 times the current I1 of the loop; the direction of the current in the wire is shown. The magnetic field in the center of the loop is zero. The radius R of the loop is 1.2 cm.What is the distance d from the wire to the center of the loop?Express your answer with the appropriate units.



Answer :

The distance d from the wire to the center of the loop is 7.64 cm.

What is loop?
A loop is a set of instructions that are repeatedly carried out until a specific condition is met in computer programming. Typically, a specific action is taken, such as getting and changing a piece of data, and then a condition is checked, such as determining whether a counter had also reached a predetermined value. If not, the following instruction in the sequence directs the computer to go back to the first instruction inside the sequence as well as repeat it. The following instruction "falls through" to a following sequential instruction as well as branches outside the loop if the condition has been met. A loop is a fundamental concept in programming that is frequently applied when creating programmes.

The distance d from the wire to the center of the loop is a result of the magnetic field created by the current in the wire. The magnetic field created by a current is proportional to the current and inversely proportional to the distance from the wire. Therefore, we can use the equation B=μI/2πd, where μ is the permeability of free space, B is the magnetic field, I is the current, and d is the distance from the wire to the center of the loop. We can rearrange this equation to solve for d: d= μI/2πB.

Plugging in the given values, we get d= (4π x 10^-7)(20I1)/2π(0) = 7.64 cm. Therefore, the distance d from the wire to the center of the loop is 7.64 cm.

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