A storage battery takes $t_{0}$ time when $D C$ current $I_{0}$ is used to charge it. Find the time taken if a half wave rectifier is used with $A C$ mains and effective current is $I_{0}$ .

t_{0} π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{2 t_{0}}{π}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{π t_{0}}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

t_{0}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $\frac{π t_{0}}{2}$
$I_{d c} = \frac{I_{p}}{π}; I_{e f f} = I_{r m s} = \frac{I_{p}}{2} = I_{0}$
Therefore, $I_{p} = 2 I_{0}$
Hence dc current supplied by the rectifier is $\frac{2 I_{0}}{π}$
Time required is calculated using $I_{1} t_{1} = I_{2} t_{2}$
$t_{2} = \frac{I_{0} t_{0}}{2 \frac{I_{0}}{π}} = \frac{π t_{0}}{2}$

Suggest Corrections

Similar questions

Q. Let i₀ be the thermionic current from a metal surface when the absolute temperature of the surface is T₀. The temperature is slowly increased and the thermionic current is measured as a function of temperature. Which of the following plots may represent the variation in (i/i₀) against (T/T₀)?

Q. When an ideal capacitor is charged by a dc battery, no current flows. However, when an ac source is used, the current flows continuously. How does one explain this, based on the concept of displacement current?

The emf of a storage battery is 90 V before charging and 100 V after charging by a direct current voltage supply. When charging began the current was 10 A. What is the current at the end of charging if the internal resistance of the storage battery during the whole process of charging may be taken as constant and equal to 2 ohms?

Q. A current