discuss growth and decay of current in a circuit containing an inductance and a resistance pdf
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Hey bro sorry but i not to find the pdf but i think it help u
e. Growth and Decay of Current In An LR Series Circuit. If a
battery is connected across a pure inductance, the current
builds up to its final value at a rate determined by the battery
voltage and the internal resistance of the battery. The current
buildup is gradual because of the counter emf generated by the
selfinductance of the coil. When the current starts to flow,
the magnetic lines of force move outward from the coil. These
lines cut the turns of wire on the inductor and build up a
counter emf that opposes the emf of the buttery. This
opposition causes a delay in the time it takes the current to
build up to a steady value. When the battery is disconnected,
the lines of force collapse. Again, these lines cut the turns
of the inductor and build up an emf that tends to prolong the
flow of current.
A voltage divider containing resistance and inductance may be
connected in a circuit by means of a special switch, as shown in
figure 20, view A, on the following page. Such a series
arrangement is called an inductance resistance (LR) circuit.
When switch S1 is closed (as shown), a voltage (Es) appears
across the voltage divider. A current attempts to flow, but the
inductor opposes the current by building up a back emf that, at
the initial instant, exactly equals the input voltage (ES). This
is the same as having two voltage sources of equal value and
opposite polarity. With this condition, no current will flow.
Because no current can flow, there is no voltage drop across
resistor R. View B, figure 20, shows that all of the voltage is
impressed across inductor L and no voltage appears across
resistance R at the instant switch S1 is closed.
As current starts to flow, a voltage (eR) appears across R, and
the voltage across the inductor is reduced by the same amount.
The fact that the voltage across the inductor (L) is reduced
means that the growth current (ig) is increased and consequently
eR is increased. View B, figure 20, shows that the voltage
across the inductor (eL ) finally becomes zero when the growth
current ig) stops increasing, while the voltage across the
resistor (eR) builds up to a value equal to the source voltage.
e. Growth and Decay of Current In An LR Series Circuit. If a
battery is connected across a pure inductance, the current
builds up to its final value at a rate determined by the battery
voltage and the internal resistance of the battery. The current
buildup is gradual because of the counter emf generated by the
selfinductance of the coil. When the current starts to flow,
the magnetic lines of force move outward from the coil. These
lines cut the turns of wire on the inductor and build up a
counter emf that opposes the emf of the buttery. This
opposition causes a delay in the time it takes the current to
build up to a steady value. When the battery is disconnected,
the lines of force collapse. Again, these lines cut the turns
of the inductor and build up an emf that tends to prolong the
flow of current.
A voltage divider containing resistance and inductance may be
connected in a circuit by means of a special switch, as shown in
figure 20, view A, on the following page. Such a series
arrangement is called an inductance resistance (LR) circuit.
When switch S1 is closed (as shown), a voltage (Es) appears
across the voltage divider. A current attempts to flow, but the
inductor opposes the current by building up a back emf that, at
the initial instant, exactly equals the input voltage (ES). This
is the same as having two voltage sources of equal value and
opposite polarity. With this condition, no current will flow.
Because no current can flow, there is no voltage drop across
resistor R. View B, figure 20, shows that all of the voltage is
impressed across inductor L and no voltage appears across
resistance R at the instant switch S1 is closed.
As current starts to flow, a voltage (eR) appears across R, and
the voltage across the inductor is reduced by the same amount.
The fact that the voltage across the inductor (L) is reduced
means that the growth current (ig) is increased and consequently
eR is increased. View B, figure 20, shows that the voltage
across the inductor (eL ) finally becomes zero when the growth
current ig) stops increasing, while the voltage across the
resistor (eR) builds up to a value equal to the source voltage.
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