Current Electricity and Electrical InstrumentMedium
Question
ABCD is a square where each side is a uniform wire of resistance 1Ω. A point E lies on CD such that if a uniform wire of resistance 1Ω is connected across AE and constant potential difference is applied across A and C then B and E are equipotential. Then -
Options
A.
= 1
= 1B. = 2
= 2C.
D.
= √2
= √2Solution
Assume DE R1Ω
EC ⇒ R2Ω
R1 + R2 = 1Ω
VB = VE
Means balance wheat stone bridge
R2 =
= 1 - R1 R1 + 1 = R1 + 2 - R12 - 2R
R12 + 2R1 - 1 = 0 ⇒ R1 = - 1 + √2 ⇒ R2 = 2 - √2
= √2Create a free account to view solution
View Solution FreeTopic: Current Electricity and Electrical Instrument·Practice all Current Electricity and Electrical Instrument questions
More Current Electricity and Electrical Instrument Questions
Two resistance R1 and R2 are made of different materials. The temperature coefficient of the material of R1 is a and of ...In the given circuit, it is observed that the current I is independent of the value of the resistance R6. Then, the resi...In the shown arrangement of the experiment of the meter bridge if AC corresponding to null deflection of galvanometer is...In the ladder network shown, current through the resistor 3 Ω is 0.25 A. The input voltage ′V′ is equal...All the edges of a block in cuboidal shape with parallel faces are unequal. Its longest edge is twice its shortest edge....