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An electrical circuit is shown in the figure. Show that the p.d across the resistor of 400 ohmas will be measured by the voltmeter V of resistance 400 ohm is 20/3 V.
since voltmeter resisitance is 400 ohms
Rab = 400*400/800 = 200 ohms , Rad = 100 , Rcd= 100 ,Rbc =200 and Rac =100 ohms
as Rab/Rbc = Rad/Rcd , by wheat stone bridge priciple, no current flows through Rac, so it can be removed from circuit
now, to fin volatge across, V , let I be current in circuit,
the on simplyfying resistance Rbd = 150 ohms
hence, I = 1/15 A
current in voltmeter = I/2 = 1/30 A
voltage across it = 1/30 * 200 = 20/3 V
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