we use it when we require a variable resistance in a circuit
The use of a resistance box or a "Decade Box" is to help calibrate instruments used to measure electrical values such as Voltage, Current, and Resistance. Without them you would not have a known value of resistance to use as a set point.
Resistance decade box is nothing but Resistance bank. It has various ranges of Resistance value ranging from few ohms to few mega ohms. In other terms, large value of resistance are fabricated in single box is said to be Resistance decade box.
A box of precision resistors where you can dial in the exact resistance you want with dials. Essentially a variable resistor with very precise, discrete, settings.
same as decade resitance box but instead of reitances there wil be capacitances
A decade resistance box is piece of laboratory equipment that allows the user to dial in a precise amount of electrical resistance to be inserted into a circuit. For example, it might have a dial for 100s of Ohms, 10s of Ohms, and 1s of Ohms, and allow the user to set any value from 999 Ohms to 0 Ohms in 1 ohm steps. While the use of this device has probably been largely superseded in laboratory use by more sophisticated equipment, it was used in the past in some or all of the following applications: Measurement of unknown resistances by the "bridge" method, Setting the current in a test circuit, Calibrating other lab equipment such as an Ohmmeter or Ammeter, Demonstrating Ohm's Law, and so on.
It is used to dial in a specific resistance within the range of the box. It can be used wherever you need a resistor of an unknown value or a precise value. Most decade boxes provide reistance with .01% of the desired resistance. I've used them to balance a wheatstone bridge that had a tiny mV offset.
a box which has resistance between 1 ohm to 50000 ohm
It depends on what you want to accomplish. If you want to decrease the resistance in a circuit, you would place the box in parallel to some other resistor. If you want to increase the resistance in a circuit, you would place the box in series.
how to calculate resistance box for slipring motors
I got it for an honesty box answer. The question was, "what decade am i fitted to live in"
According to the calendar, because there is no "0" year, the new decade just started January 1, 2011. Common use of the word decade, because we refer to the decade of the 80's or 90's, the new decade starts on January 1 of the decade that is being referred to. This is because it is illogical to say the decade of the 80's doesn't include 1980 but does include 1990. So, if you like the common use of the word decade, instead of the calendar use, the new decade will start on January 1, 2020.
Resistance box will provide resistance of discrete values such as 1, 2, 3 ohms or 0.1,0.2, 0.3 ohms. So interim values are not possible. But rheostat gives a chance to vary the resistance continuously. It may be 5 ohm or even 5.769 ohm. So just to fix current for a specified value such 1.5 ampere resistance box will not be suitable where as a rheostat is the most suitable.