zero. This law is based on the conservation of energy.
Let us imagine in a circuit loop the potential difference between the
two points at the beginning of the loop has a certain value. As we move
around the circuit loop and measure the potential difference across each
component in the loop, the potential difference may decrease or increase
depending upon the nature of the element like a resistor or a battery. But
when we have completely traversed the circuit loop and arrive back at our
starting point, the net change in the potential difference must be zero.
Thus, the algebraic sum of changes in potential differences is equal to
zero.
• How could the sign convention be taken?
1. emf of the battery is taken as negative when we move from positive
terminal to negative terminal across the battery.
2. It is taken as positive when we move across the battery from negative
terminal to positive terminal.
3. The direction of electric current is to be observed to give a sign to
potential difference of a resistor.
4. The potential difference across the resistor is taken as negative
when we move along the direction of electric current through the
resistor.
5. It is taken as positive when we move against the direction of electric current through the
resistor.
Example 1:s Find the resultaint potential
difference from the given figure based on Loops law.
Solution:s In ABCDEA loop,
The potential difference at battery is -V1
at resistance R1
the potential difference is I1sub>
R1
the resultaint potential difference in the circuit
is = - V1
+ I1
R1 = 0
Example 2: Find the resultaint potential
difference from the given figure based on Loops law.
Solution: Let us apply Loop law to the given circuit.
At battery v1
the potential difference is –V1
the potential difference at v2
= – V2