Superposition Principle

Consider a block of conducting material of resistivity 'rho' shown in the figure. Current 'I' enters at 'A' and leaves from 'D'. We apply superposition principle to find voltage DeltaV developed between 'B' and 'C'. The calculation is done in the following steps: (i) Take current 'I' entering from 'A' and assume it to spread over a hemispherical surface in the block. (ii) Calculate field E(r) at distance 'r' from A by using Ohm's law E = rhoj, where j is the current per unit area at 'r'. (iii) From the 'r' dependence of E(r), obtain the potential V(r) at r. (iv) Repeat (i), (ii) and (iii) for current 'I' leaving 'D' and superpose results for 'A' and 'D'. Delta V measured between B and C is

Passage-II: Consider a block conducting material of resistivity . rho . shown in the figure. Current .I. enters at .A. and leaves from .D.. We apply superposition principle to find voltage . DeltaV . developed between .B. and .C.. The calculation is done in the following steps : i) Take current .I. entering from .A. and assume it to spread over a hemispherical surface in the block. ii) Calculate field E(r ) at distance .r. from A by using Ohm.s law E= rhoj , where j is the current per unit area at .r.. iii) From the .r. dependence of E(r ), obtain the potential V(r ) at r. iv) Repeat (i), (ii), (iii) for current .I. leaving .D. and superpose results for .A. and .D.. For current entering at A the electric field at a distance .r. from A is

Define superposition principal ?

Two waves of same frequency and intensity superimpose on each other in opposite phases. After the superposition the intensity and frequency of waves will.

Three simple harmonic waves , identical in frequency n and amplitude A moving in the same direction are superimposed in air in such a way , that the first , second and the third wave have the phase angles phi , phi + ( pi//2) and (phi + pi) , respectively at a given point P in the superposition Then as the waves progress , the superposition will result in

Three simple harmonic waves , identical in frequency n and amplitude A moving in the same direction are superimposed in air in such a way , that the first , second and the third wave have the phase angles phi , phi + ( pi//2) and (phi + pi) , respectively at a given point P in the superposition Then as the waves progress , the superposition will result in

Assertion : The principle of superposition is not valid for gravitational force. Reason : Gravitational force is a conservative force.

Assertion : When two vibrating tuning forks having frequencies 256Hz and 512Hz are held near each other , beats can not be heard . Reason : The principle of superposition is valid only if the frequencies of the oscillators are nearly equal.

Statement-1 : When two vibrating tuning forks have f_(1) = 300 Hz and f_(2) = 350 Hz and held close to each other , beats cannot be heard Statement-2 : The principle of superposition is valid only when f_(1) - f_(2) lt 10 Hz

If the phase difference between the two wave is 2 pi during superposition, then the resultant amplitude is