Question

duty cycle
the average current is attained by quickly switching the current on and off. this ensures that the
switching output stage does not heat up.
the intensity (amount) of the current now depends on the duty cycle.
if the time the current is switched on is as long as the time it is switched off, the average current is
50%. we call this a duty cycle of 50%. at a duty cycle of 100% the current is always switched on.
the coil is ground switched. when the voltage over the output stage 4 is 0 v, a current runs
through the coil.
the resistance of the coil is 1 ω
what is the average current through the coil at a battery voltage of 12 v and a duty - cycle of 30%?

Explanation:

Step1: Calculate the current when the coil is switched on

Using Ohm's Law \(I=\frac{V}{R}\), where \(V = 12\space V\) and \(R=1\space\Omega\).
\(I=\frac{12}{1}=12\space A\)

Step2: Calculate the average current using the duty - cycle formula

The formula for average current \(I_{avg}=I\times\text{duty - cycle}\).
Given duty - cycle \(= 30\%=0.3\) and \(I = 12\space A\)
\(I_{avg}=12\times0.3\)

Answer:

\(3.6\space A\)