Define ohm's law with derivation
Answers
DEFINATION:
Ohm’s Law states that the current flowing through a conductor is directly proportional to the potential difference applied across its ends, provided the temperature and other physical conditions remain unchanged. Mathematically it can be represented as,
Potential difference ∝ Current
V ∝ I
( When the value of V increases the value of I increases simultaneously)
V = IR
DERIVATION:
Consider,
V= voltage,
A= area of cross-section ,
l= length of conductor,
e= charge on an electron,
μ = mobility of electron,
E= electric field,
m= mass of electron,
v = drift speed,
n= number of free electrons per unit volume,
τ = relaxation time
Derivation :
Volume of conductor = A.l
Total number of free electrons = A.l .n
Total free charge, Q = A.l .n.e
Time taken by a free electron to cross the conductor of length l ,
t= l/v.
Current I = Q/t = (A.l .n.e)/ (l/v) = n.e.A.v —————(1)
v = μ. E and
μ = e.τ/m. & E = V/l.
v = e.V.τ/(m.l);
V= v.m.l/(e.τ);
I = n.e.A.v
V/I = m.l/(n.A.τ. e^2) = R(Resistance)
MARK IT BRAINLIEST PLZ,IF YOU GET HELP
Answer:
1828, George Simon Ohm, a German physicist, derived a relationship between electric current and potential difference. This relationship is known as Ohm’s law. Certain formulas in Physics are so prevalent that they become popular knowledge that you end up memorising without trying. In the field of Modern Physics, it is E=m⋅c2. Similarly, in the field of current electricity, it is the Ohm’s law about which we will be studying in this article.
Discovery of Ohm’s Law
Georg-Simon-Ohm