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A Series Circuit Consists of a Resistor R=96ΩR = 96 \Omega

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A series circuit consists of a resistor R=96ΩR = 96 \Omega , an inductor with L=8HL = 8 \mathrm { H } , a capacitor with C=0.00125 FC = 0.00125 \mathrm {~F} , and a generator producing a voltage of E(t)=48cos(10t)E ( t ) = 48 \cos ( 10 t ) . If the initial charge is Q=0.001CQ = 0.001 \mathrm { C } and the initial current is 0 , find the charge Q(t)Q ( t ) at time tt .


Definitions:

Machine-Hours

A measure of the amount of time that machinery is in operation, typically used as a basis for allocating manufacturing overhead costs.

Predetermined Overhead Rate

A rate used to allocate manufacturing overhead costs to products based on a predetermined formula, often involving estimated costs and activity levels.

Machine-Hours

A measure of production volume or activity based on the number of hours machines are operating.

Unused Capacity

Unused capacity represents the available but unutilized production or service capability of a company, which if used, could potentially increase output without increasing fixed costs.

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