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 samel time-intervals. What would be the r.m.s. value of the altemating voltage?

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 samel time-intervals. What would be the r.m.s. value of the altemating voltage? (A) 110 V (B) 220 V (C) 330 V (D) 440 V

Tardigrade Admin · Accepted Answer

Given that HA C=HD C l textrms2 R t=l2 R t (V textrms2/R)=(V2/R) V textrms= V so V textrms=110 V

Q. 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 samel time-intervals. What would be the r.m.s. value of the altemating voltage?

110 V

220 V

330 V

440 V

Given that $H_{A C} = H_{D C}$
$l_{rms}^{2} Rt = l^{2} Rt$
$\frac{V _{rms}^{2}}{R} = \frac{V ^{2}}{R}$
$V_{rms} = V$
so $V_{rms} = 110 V$

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