Question

Using an



a.C. Voltmeter the potential difference in the electrical line in a house is read to be 234 volt. If the line frequency is known to be 50 cycles/second, the equation for the line voltage is

Answer 1

Answer:

the equation for the line voltage is V = 331 sin(100πt)

Explanation:

According to the problem the potential difference in the line in a house is 234 volt

The line frequency ,f is 50 cycles/second

Let the e is the line voltage

Now we know e=(e0)sinωt  

Therefore (e0)= √2×234V

                           =331V  

therefore ωt=2πft=2π50×t

                              =100πt  

Thus, the equation of the line voltage is given by  

e=331sin(100πt).