Question

If the maximum current of a half-wave rectified wave is 10 A, its r.m.s value is given by:

(a) 3.10 A

(b) 5.0 A

(c) 6.37 A

(d) 7.07 A

Answer 1

The value of the root mean square (r.m.s) current, given that the maximum current is 10 A, is 7.07 A (option D)

How to calculate the root mean square (r.m.s) current?

We know that the maximum current ans the root mean square current are related by the following formula:

`I_(rms)\ *\ √(2) = I_(max)`

Where

• 
  `I_(rsm)` is the roor mean square current
• 
  `I_(max)` is the maximum current

With the above formula, we shall calculate the root mean square current. Details below:

• Maximum current (
  `I_(rsm)` ) = 10 A
• Root mean square current (
  `I_(rsm)`) =?

`I_(rms)\ *\ √(2) = I_(max)\\\\I_(rms)\ *\ √(2) = 10\\\\Divide\ both\ sides\ by\ √(2)\\\\I_(rms) = (10)/(√(2))\\\\I_(rms) = 7.07\ A`

Thus, the answer is option D