To solve the problem, we need to understand the principle that governs the potential differences in a closed loop in an electric circuit.
1. Understanding Kirchhoff's Voltage Law (KVL):
According to Kirchhoff's Voltage Law, the algebraic sum of all potential differences (voltages) around any closed loop in a circuit is zero. This includes the sum of emfs and the product of currents and resistances.
2. Application:
This law is based on the law of conservation of energy, ensuring that all the energy supplied in a closed loop is used up within the loop, so no net energy gain or loss occurs.
Final Answer:
The algebraic sum of potential differences in a closed loop is \({\text{zero}} \).