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Q. Explain Current and Magnetic Force?
The rate ofmovement of net positive charge per unit of time through a cross section of a conductor is known as current,
i(t) = dq / dt
The SI unit of current is the ampere (A), which represents 1 coulomb per second. In most metallic conductors, such as copper wires, current is exclusively the movement of free electrons in the wire. Since electrons are negative, and since the direction designated for the current is that of the net positive charge movement, the charges in the wire are thus moving in the direction opposite to the direction of the current designation. The net charge transferred at a particular time is the net area under the current-time curve from the beginning of time to the present,
While Coulomb's law has to do with the electric force associated with two charged bodies, Ampere's lawof force is concerned with magnetic forces associatedwith two loops ofwire carrying currents by virtue of the motion of charges in the loops. Note that isolated current elements do not exist without sources and sinks of charges at their ends; magnetic monopoles do not exist.
Q. Consider the circuit of Figure in which the switch S has been open for a long time and is closed at t = 0. Determine v C (t) for t ≥ 0.
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