Question

A 110 V d.c. heater is used on an a.c. source,
such that the heat produced is same as it
produces when connected to 110 V dc in same
time-intervals. What would be the r.m.s. value of
the alternating voltage?​

Answer 1

Answer:

the r.m.s. value of the alternating voltage = 110 V  AC

Explanation:

the r.m.s. value of the alternating voltage will be same as DC Voltage

For alternating electric current, RMS is equal to the value of the direct current that would produce the same average power dissipation in a resistive load.

Here given That heat produced is same in the same interval

=> average power dissipation is Same

Hence r.m.s. value of the alternating voltage = Direct Current Voltage

so the r.m.s. value of the alternating voltage = 110 V  AC

Answer 2

Answer:

110 V

Explanation:

We have used 110 V DC heater in an AC source,

For Alternating Electric Current produced, The RMS value of the current is same as that of Direct Current (DC) but only where the average power dissipation in the resistive load is also same.

Therefore, we can infer from this that the Heat produced is same in the same time interval and hence, the Average Power dissipation.

Therefore, the R.M.S value of the Alternating Voltage is same as that of DC Voltage.

So,

RMS Value of Alternating Voltage = 110 V