Question

I need help on this question please

Answer 1

The maximum value of current, given the rms potential difference of 18.0 V is 0.78 A

How to calculate the maximum current?

First, we shall calculate the root mean square current. This is illustrated as follow:

• Root mean square potential difference (
  `V_(rms)`) = 18.0 V
• Resistance (R) = 32.9 ohms
• Root mean square potential difference (
  `I_(rms)`) = ?

`I_(rms) = (V_(rms))/(R) \\\\I_(rms) = (18)/(32.9)\\\\I_(rms) = 0.55\ A`

Finally, we shall calculate the maximum value of the current. This is shown below:

• Root mean square potential difference (
  `I_(rms)`) = 0.55 A
• Maximum current (
  `I_(max)`) =?

`I_(rms) = (I_(max))/(√(2) ) \\\\0.55 = (I_(max))/(√(2) )\\\\Cross\ multiply\\\\I_(max) = 0.55\ *\ √(2) \\\\I_(max) = 0.78\ A`

Thus, the maximum current is 0.78 A