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Choose the correct: Four resistances 10 Ω, 10 Ω, 10 Ω and 15 Ω form a Wheatstone’s network. What shunt is required across 15 Ω resistor to balance the bridge

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प्रश्न

Choose the correct:

Four resistances 10 Ω, 10 Ω, 10 Ω and 15 Ω form a Wheatstone’s network. What shunt is required across 15 Ω resistor to balance the bridge

पर्याय

  • 10 Ω

  • 15 Ω

  • 20 Ω

  • 30 Ω

MCQ
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उत्तर

30 Ω

Explanation:

The below diagram represents Wheatstone’s network.

The Wheatstone’s network is said to be balanced when galvanometer shows null deflection. This occurs when:

`R_a/R_b = R_1/R_2`

Therefore the given configuration will be balanced when the equivalent resistance, after the shunt resistance Rs being added parallel to the 15 Ω and 10 Ω.

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पाठ 9: Current Electricity - Exercises [पृष्ठ २२८]

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बालभारती Physics [English] Standard 12 Maharashtra State Board
पाठ 9 Current Electricity
Exercises | Q 1.4 | पृष्ठ २२८

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संबंधित प्रश्‍न

Four resistances 4Ω,8Ω,XΩ, and 6Ω are connected in a series so as to form Wheatstone’s
network. If the network is balanced, find the value of ‘X’.


Obtain the balancing  condition for the Wheatstone bridge arrangements as shown in Figure 4 below:


Explain with a neat circuit diagram. How you will determine the unknown resistances using a meter bridge.


In a meter bridge, the balance point is found to be at 39.5 cm from the end A when the resistor R is 12.5 Ω (right gap).

a) Determine the resistance of X (left gap).

b) Determine the balance point of the bridge if X and R are interchanged?

c) What happens if the galvanometer and cell are interchanged at the balance point of the bridge?


The current which flows in a galvanometer of Wheatstone bridge is directly proportional to ______


In a metre bridge experiment, the null point is obtained at 20 cm from one end of the wire when resistance X is balanced against another resistance Y. If X < Y, then where will be the new position of the null point from the same end, if one decides to balance a resistance of 4X against Y?


In a metre bridge, the gaps are closed by two resistances P and Q and the balance point is obtained at 40 cm. When Q is shunted by a resistance of 10 Ω, the balance point shifts to 50 cm. The values of P and Q are ______

 


In the circuit shown, a metre bridge is in its balanced state. The metre bridge wire has a resistance 0.1 ohm/cm. The value of unknown resistance X and the current drawn from the battery of negligible resistance are ____________.


On interchanging the resistances, the balance point of a metre bridge shifts to the left by 10 cm. The resistance of their series combination is 1 k`Omega`. How much was the resistance on the left slot before interchanging the resistances?


The resistances in left and right gap of a metrebridge are 20 `Omega` and 30 `Omega` respectively. When the resistance in the left gap is reduced to half its value, the balance point shifts by ______.


When the value of R in the balanced Wheatstone bridge, shown in the figure, is increased from 5 `Omega` to 7 `Omega`, the value of s has to be increased by 3 `Omega` in order to maintain the balance. What is the initial value of S?


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The current through 1 `Omega` resistance in the following circuit is ______. 


If in the experiment of Wheatstone’s bridge, the positions of cells and galvanometer are interchanged, then balance point will ______.

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The measurement of an unknown resistance R is to be carried out using Wheatstones bridge (figure). Two students perform an experiment in two ways. The first students takes R2 = 10 Ω and R1 = 5 Ω. The other student takes R2 = 1000 Ω and R1 = 500 Ω. In the standard arm, both take R3 = 5 Ω. Both find R = `R_2/R_1 R_3` = 10 Ω within errors.

  1. The errors of measurement of the two students are the same.
  2. Errors of measurement do depend on the accuracy with which R2 and R1 can be measured.
  3. If the student uses large values of R2 and R1, the currents through the arms will be feeble. This will make determination of null point accurately more difficult.
  4. Wheatstone bridge is a very accurate instrument and has no errors of measurement.

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Find the radius of the wire of length 25m needed to prepare a coil of resistance 25Ω. (Resistivity of material of wire is 3.142 x 10-7Ωm)


Write balancing condition of a Wheatstone bridge.


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