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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

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

With the help of a labelled diagram, show that the balancing condition of a Wheatstone bridge is

`R_1/R_2 = R_3/R_4` where the terms have their usual meaning.


In Wheatstone’s meter-bridge experiment, the null point is obtained in the middle one-third portion of the wire. Why is it recommended?


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?


In conversion of moving coil galvanometer into an ammeter of required range, the resistance of ammeter, so formed is ______.
[S = shunt and G = resistance of galvanometer]


With a resistance of 'X' in the left gap and a resistance of 9 Ω in the right gap of a meter bridge, the balance point is obtained at 40 cm from the left end.
In what way and to which resistance 3 Ω resistance be connected to obtain the balance at 50 cm from the left end?


In a metre bridge experiment. the ratio of the left-gap resistance to right gap resistance is 2: 3. The balance point from the left is ______.


ln the metre bridge experiment, one metre long wire acts as ____________.


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 ______.


A resistance of 5 `Omega` is connected in the left gap of a metre bridge and 15 `Omega` in the other gap. The position of the balancing point is ____________.


In the meter bridge experiment, the null point is obtained at a distance of ℓ from the left end. The resistance in the left and right gaps are halved and then interchanged. The new position of the null point is at ______


In a balanced metre bridge, 5 Ω is connected in the left gap and R Ω in the right gap. When R Ω is shunted with equal resistance, the new balance point is at 1.6 I1 where 'I1' is the earlier balancing length. The value of 'I1' is ______ 


In a meter bridge experiment, to minimize an error due to contact resistance, ______  


In a metre bridge experiment, the ratio of the left-gap resistance to right gap resistance is 2: 3. The balance point from the left is ______.


ln, a Wheatstone network, P = Q = R = 8 `Omega` and S is 10 `Omega`. The required resistance to be connected to S so that network is balanced is ______.


Why is the Wheatstone bridge better than the other methods of measuring resistances?

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.

In the given circuit, if I = 100 mA and I1 = I4 = 60 mA, the currents I3 and I5 are ______.


Explain the use of Wheatstone's metre bridge to determine an unknown resistance.


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)


Four resistances 4Ω, 4Ω, 4Ω and 12Ω form a Wheatstone's network. Find the resistance which when connected across the 12Ω resistance will balance the network.


What is a post office box? How is the· unknown resistance measured using a post office box?


Two resistances are connected in two gaps of a meter bridge. The null point is obtained at 20 cm from zero end. A resistance of 15 is connected in series with smaller of the two. The null point shifts to 40 cm. The smaller resistance used in is ______.


The current passing through the battery in the given circuit is:


In a Wheatstone’s bridge, three resistances P, Q and R connected in the three arms and the fourth arm is formed by two resistances S1 and S2 connected in parallel. The condition for the bridge to be balanced will be ______.


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