Solve Apps: Trigonometric Equations
-A Coil of Wire Rotating in a Magnetic

question 34

Multiple Choice

Solve Apps: Trigonometric Equations
-A coil of wire rotating in a magnetic field induces a voltage given by $\mathrm { e } = 20 \sin \left( \frac { \pi \mathrm { t } } { 4 } - \frac { \pi } { 2 } \right)$ , where $\mathrm { t }$ is time in seconds. Find the smallest positive time to produce a voltage of $10 \sqrt { 3 }$ .

• A) \(3.33\) seconds
• B) 3 seconds
• C) \(3.33 \pi\) seconds
• D) \(3 \pi\) seconds

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Definitions:

Marginal Cost

The amount spent on producing an additional unit of a product or service.

Monopolistically Competitive

A market structure where many firms sell products that are similar but not identical, allowing for competition based on quality, price, and branding.

Long-run Equilibrium

A state in which all firms in a competitive market are making just enough profit to stay in business, with no incentive to enter or leave the market.

MR = MC

A condition where a firm's marginal revenue (MR) equals its marginal cost (MC), commonly used to determine the profit-maximizing level of output.