Define electric capacitance and write its S.I.unit.
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The ratio of charge given to a conductor and potential raised due to this charge is called electric capacitance of the conductor.
From equation :
Thus , the electric capacitance of a conductor is a constant. Its value depends upon the nature and area of the conductor and on the environment around the conductor and also on the other conductors placed near the conductor.
Again from C=Vq , if V =1 volt, then C=q i.e. the electrical capacitance of a conductor of a conductor is equal to charge of conductor when the applied potential on a conductor take as unity. Unit and Dimensions: ∵C=Vq ∴ Unit of capacitance =voltcoulomb= CV−1= Farad (F) ∵ 1CV −1= 1F If q = 1C, V = 1 volt, then C = 1F i.e., 'If on giving a charge of 1 C to a conductor its potential is increased by 1 volt, then the capacitance of the conductor will be 1F'. Farad is a big unit of capacitance. In practice other small units e.g, μF and μμF or pF are used. 1μF =10−6F and 1μμF = 1 pF = 10−12F Dimensional formula: ∵C=Vq=qWq=Wq2=Wi2t2 ∴ Dimensional formula of C =M1L2T−2[A2T2] =[M−1L−2T4A2] Graph : If a graph is plotted between q and V , then the straight line is obtained. The gradient of the graphical line =tanθ=Vq=C i.e., the gradient of the graph provides the capacitance of the conductor.
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