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galben [10]
3 years ago
13

Inductors in series. Two inductors L1 = 1.05 H and L2 = 2.07 H are connected in series and are separated by a large distance so

that the magnetic field of one cannot affect the other. (a) Calculate the equivalent inductance. (Hint: Review the derivations for resistors in series and capacitors in series.Which is similar here?) (b) What is the generalization of (a) for N = 30 similar inductors L = 3.03 H in series?
Physics
1 answer:
hodyreva [135]3 years ago
4 0

The inductance of several inductors in series is the sum of all the individuals ... just like for resistors.

a). With 1.05H and 2.07H in series, the equivalent total inductance is <em>3.12H</em> , provided the inductors can't influence each other with their magnetic fields.

b). If you had 30 identical inductors in series, each with inductance of 3.03H, AND none of them could influence any other ones with their magnetic fields, their combined equivalent inductance would be

(30) · (3.03H) = <em>90.9 H</em> .

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A conservative force permits a two-way conversion between kinetic and potential energies.

The work done by a nonconservative force depends on the path taken.

A potential energy function can be specified for a conservative force.

Explanation:

A conservative force is defined as a force whose work done does not depend on the path taken, but only on the initial and final position of motion.

This means that for a conservative force, it is possible to defined a potential energy function U which depends only on the position of the object. An example of conservative force is gravity: the gravitational potential energy of an object, in fact, depends only on its position in the field, not on the path taken.

This behaviour also implies that when an object moves from A to B and then back from B to A, the potential energy gained (or lost) moving from A to B is lost (or re-gained) when moving from B to A. This means that the total mechanical energy (sum of kinetic energy and potential energy) of the object is conserved, and therefore there is a constant conversion between potential and kinetic energy during the motion.

A non-conservative force instead does not show this properties, as the work done by it depends on the path taken, and therefore it is not possible to define a potential energy function. An example of non-conservative force is friction.

According to what we wrote above, therefore, the only correct statements are:

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The work done by a nonconservative force depends on the path taken.

A potential energy function can be specified for a conservative force.

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