Question

True or False? In an RL circuit, the larger the value of R (i.e. the resistance of the circuit), the longer it takes the circuit to reach its final steady-state value (with all else being held constant). False True [1 point] Suppose we measure the energy stored in some inductor to be E when there is a current I running through it. If I double the current in the inductor, the new total energy will become _____. E E/4 8E E/2 2E 4E

Answer 1

Answer:

1.False

2.4 E

Explanation:

1.We have to find the statement is true or false.

We know that

Time constant,$\tau=\frac{L}{R}$

Time constant is inversely proportional to resistance R .It means when R increases then time constant decreases when R decrease then the time  constant decreases.

Statement:The larger the value of R ,the longer it takes the circuit to reach its final steady- state value

It is false.

2.Energy stored in inductor,E=$\frac{1}{2}LI^2$

When I'=2I

Then, $E'=\frac{1}{2}L(2I)^2=\frac{1}{2}LI^2\times 4=4 E$

Hence,the new total energy will become 4 E.