English

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

Advertisements
Advertisements

Question

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’.

Advertisements

Solution

R1 = 4Ω, R2 = 8Ω, R3 = XΩ, R4 = 6Ω

When Wheatstone’s network is balanced,

∴ X = 3 Ω

The value of ‘X’ is 3Ω.

shaalaa.com
  Is there an error in this question or solution?
2012-2013 (October)

APPEARS IN

RELATED QUESTIONS

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.


State any two sources of errors in the meter-bridge experiment. Explain how they can be minimized.


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


Two wires A and B of equal lengths are connected in left and right gap of a meter bridge, null point is obtained at 40 cm from left end. Diameters of the wire A and B are in that ratio 3 : 1. The ratio of specific resistance of A to the of B is ____________.


In a Wheatstone bridge, when the potentials at points B and D are the same, then the current through the galvanometer ______

 


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 ____________.


In Wheatstone's bridge P = 7 ohm, Q = 12 ohm, R = 3 ohm and S = 8 ohm. How much resistance must be put in parallel to the resistance S to balance the bridge?


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?


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?


In the network shown cell E has internal resistance r and the galvanometer shows zero deflection. If the cell is replaced by a new cell of emf 2E and internal resistance 3r keeping everything else identical, then ______.


In following figure, a current of 1.4 A flows towards the bridge circuit. The current in 2 n resistor is ______.


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 ______.


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


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

In a wheatstone bridge in the battery and galvanometer are interchanged then the deflection in galvanometer will ______.

The Wheatstone bridge is in a more balanced state when the ratio of arms P and Q is ______

 


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.

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 ______.


A battery of 6 V is connected to the circuit as shown below. The current I drawn from the battery is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×