Grade 12Electric Current

The four arms of wheatstone bridge have the following resistanes,AB=100Ω, BC=10 Ω,CD=5 Ω, DA=60 Ω A Galvanometer of 15 Ω resistance is connected across BD. Calculate the current through the galvanometer when 10V is maintained across AC.

shrikant

9 Years agoGrade 12

3 Answers

Saurabh Kumar

9 Years ago

yohanes

7 Years ago

The four arms of a Wheatstone bridge have the following resistances:

AB = 50Ω, BC = 5Ω, CD = 2Ω, DA = 25Ω. A galvanometer of 10Ω resistance is connected across

BD. If a potential difference of 20V is maintained across AC, using Thevenin’s theorem, calculate the current through the galvanometer and draw the Thevenin and Norton Equivalent circuit

ankit singh

5 Years ago

Considering the mesh ABDA, we have

100I1 + 15Ig – 60I2 = 0

or 20I1 + 3Ig – 12I2 = 0 ——(a)

Considering the mesh BCDB, we have

10 (I1 – Ig) – 5 (I2 + Ig) – 15Ig = 0

10I1 – 30Ig – 5I2 = 0

2I1 – 6Ig – I2 = 0 ——(b)

Considering the mesh ADCEA,

60I2 + 5 (I2 + Ig) = 10

65I2 + 5Ig = 10

13I2 + Ig = 2 ——(c)

Multiplying Eq. (b) by 10

20I1 – 60Ig – 10I2 = 0 ——(d)

From Eqs. (d) and (a) we have

63Ig – 2I2 = 0

I2 = 31.5Ig ——(e)

Substituting the value of I2 into Eq. [(c)], we get

13 (31.5Ig ) + Ig = 2

410.5 Ig = 2

Ig = 4.87 mA.

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The four arms of wheatstone bridge have the following resistanes,AB=100Ω, BC=10 Ω,CD=5 Ω, DA=60 Ω A Galvanometer of 15 Ω resistance is connected across BD. Calculate the current through the galvanometer when 10V is maintained across AC.

shrikant

3 Answers

Saurabh Kumar

yohanes

ankit singh

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