An Ideal Solenoid Is 18

question 2

Short Answer

An ideal solenoid is 18.5 cm long, has a circular cross-section 2.20 cm in diameter, and contains 545 equally spaced thin windings. This solenoid is connected in a series circuit with an open switch, a 15.0-Ω resistor, and a battery of internal resistance 5.00 Ω and open-circuit terminal voltage of 25.0 V. (μ₀ = 4π × 10^-7 T ∙ m/A)
(a) What is the maximum amount of energy that the solenoid will store after closing the switch?
(b) How long after closing the switch will it take for the stored energy in the solenoid to reach one-half of its maximum value?

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Definitions:

Price of X

The amount of money required to purchase a specified amount of good or service 'X'.

Price of Y

The cost or value attributed to a good or service denoted by 'Y', often set by market demand and supply or by the seller.

Utility Function

A mathematical representation that ranks preferences or satisfaction levels of a consumer for different bundles of goods.

Budget Constraint

A representation of all the combinations of goods and services a consumer can afford to buy with their income.