The question asks which law states that the current flowing into a junction must be equal to the current flowing out of it.
- Kirchhoff's Current Law (KCL): This law states that the algebraic sum of currents entering a node (or junction) is equal to zero. In simpler terms, the total current flowing into a junction must equal the total current flowing out of that junction. This is based on the principle of conservation of charge.
- Kirchhoff's Voltage Law (KVL): This law states that the algebraic sum of all voltages around any closed loop in a circuit must equal zero.
- Ohm's Law: This law states the relationship between voltage, current, and resistance: V = IR.
- Faraday's Law: This law describes the relationship between a changing magnetic field and the electric field it induces.
The description perfectly matches Kirchhoff's Current Law (KCL).
The law that states that the current flowing into a junction must be equal to the current flowing out of it is Kirchhoff's Current Law (KCL).
What is the voltage across the inductor at $t=0$? (Circuit diagram provided: A 60V voltage source in series with a switch that closes at $t=0$, a 30 ohm resistor, and a 15H inductor.) 
Find the value of $V$ when the current in the 3 $\Omega$ resistor is 0. (Circuit diagram provided: A circuit with two voltage sources, 5V and V, and several resistors: 1$\Omega$, 2$\Omega$, 3$\Omega$, 4$\Omega$, 5$\Omega$. The 1$\Omega$ and 3$\Omega$ resistors are in the top branch. The 2$\Omega$ and 4$\Omega$ resistors are in parallel branches.) 
What is the voltage across the inductor at $t=0$? (Circuit diagram provided: A 60V voltage source in series with a switch that closes at $t=0$, a 30 ohm resistor, and a 15H inductor.) 
Find the value of $V$ when the current in the 3 $\Omega$ resistor is 0. (Circuit diagram provided: A circuit with two voltage sources, 5V and V, and several resistors: 1$\Omega$, 2$\Omega$, 3$\Omega$, 4$\Omega$, 5$\Omega$. The 1$\Omega$ and 3$\Omega$ resistors are in the top branch. The 2$\Omega$ and 4$\Omega$ resistors are in parallel branches.) 