Current Electricity Charging Discharging Of Capacitors Question 268

Question: Voltmeters V1 and V2 are connected in series across a D.C. line. V1 reads 80 volts and has a per volt resistance of 200 ohms. V2 has a total resistance of 32 kilo ohms. The line voltage is

[UPSEAT 2000]

Options:

A) 120 volts

B) 160 volts

C) 220 volts

D) 240 volts

Show Answer

Answer:

Correct Answer: D

Solution:

$ R _{1}=80\times 200=16000,\Omega =16,k\Omega $ Current flowing through $ V _{1} $ = Current flowing through $ V _{2} $ = $ \frac{80}{16\times 10^{3}}=5\times {{10}^{-3}}A $ . So, potential differences across $ V _{2} $ is $ V _{2}=5\times {{10}^{-3}}\times 32\times 10^{3}=160,\text{volt} $ Hence, line voltage $ V=V _{1}+V _{2}=80+160=240V $ .