Resistance in meter bridge’s two arms are 5 ohms and R ohms. When resistance R is shunted with equal resistance, new balance point becomes 1.6l1. Calculate R.

Resistance can be defined as the measurement of opposition of current flow in an electrical circuit. Therefore, in order to determine the value of resistance (R), we need to:

Known resistance, R = 5Ω
Initial Unknown Resistance = RΩ
New Balancing Point, L = 1.6l1

Thus, R/L = S/100 − L … [1]

Here,

R = Known Resistance
S = Unknown Resistance

In the first stage, the balancing point is at l₁.

Now, after replacing the values as:

R = 5Ω and L = l₁ in equation [1], we can obtain,

⇒ 5/l₁ = S/100−l₁ … [2]

Now, after resistance R is shunted with equal resistance R, the resistance in that arm can be R₂

Then,

⇒ 5L = R/2/100−L … [3]

Replace the value of L1 in equation 3. We can obtain,

⇒ 5/1.6l₁ = R/2/100−1.6l1 … [4]

Hence, divide the given equation 2 by 4, in order to get,

1.6/2 = (100 − 1.6l1)/100 − l1

⇒ 160 − 1.6l1 = 200 − 3.2l1

⇒ 1.6l₁= 40

⇒ l₁= 401.6

= 25 cm

Replace l₁=25cm in the above equation 1, we get,

5/25 = R/100 − 25

⇒ R = 15Ω

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Resistance in meter bridge’s two arms are 5 ohms and R ohms. When resistance R is shunted with equal resistance, new balance point becomes 1.6l1. Calculate R.

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Resistance in meter bridge’s two arms are 5 ohms and R ohms. When resistance R is shunted with equal resistance, new balance point becomes 1.6l1. Calculate R.

Related Questions

CBSE CLASS XII Related Questions

2.Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

5.This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?

Similar Physics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
Two metal spheres of radii $r_1$ and $r_2$ ($> r_1$) having charges $q_1$ and $q_2$ respectively kept in air, are brought in contact. Which of the following statements is not correct ?

5.
This ‘average velocity’ is found be few mm/s for currents in range of a few amperes. How then is current established almost the instant a circuit is closed ?