
a.Calculate the inductance of an air core solenoid containing turns if the length of the solenoid is and its cross- sectional area is
b. Calculate the self -induced emf in the solenoid if the current through it is decreasing at the rate of
Answer
467.1k+ views
Hint :To calculate the inductance of the solenoid we use the formula .
Here everything is given, the turns that is , length of the solenoid, the cross sectional area and . We can calculate the inductance from these values.
Now to calculate the self-induced emf we put the obtained inductance value and the decreased rate of current.
for calculating inductance.
For induced emf.
Complete Step By Step Answer:
In order to solve this question first we see what actually we have,
We have;
Value as , the number of turns of the coil which is three hundred, length of the solenoid which is and the cross sectional area of .
Now convert the length of the solenoid into meters, we get meters.
Now according to the inductance of the solenoid,
Now we get the value of inductance of solenoid, to get the self- induced emf we write;
Is the self-induced emf of the solenoid and
Here, is the rate of change of current which is decreasing.
Now;
So induced emf is .
Note :
In this question first see the units and convert the centimeters into meter units. Use the proper formula with everything at the appropriate unit. To calculate the self- induced emf we put the obtained inductance value and the decreased rate of current.
Here everything is given, the turns that is
Now to calculate the self-induced emf we put the obtained inductance value and the decreased rate of current.
Complete Step By Step Answer:
In order to solve this question first we see what actually we have,
We have;
Now convert the length of the solenoid into meters, we get
Now according to the inductance of the solenoid,
Now we get the value of inductance of solenoid, to get the self- induced emf we write;
Here,
Now;
So induced emf is
Note :
In this question first see the units and convert the centimeters into meter units. Use the proper formula with everything at the appropriate unit. To calculate the self- induced emf we put the obtained inductance value and the decreased rate of current.
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