A capacitor 10µF is charged to 100V. Calculate charge and energy stored. 10. A 100W bulb is connected to 240V supply. Calculate current and resistance.

$$
d = 2 \text{ mm} = 2 \times 10^{-3} \text{ m}
$$
$$
r = \frac{d}{2} = \frac{2 \times 10^{-3} \text{ m}}{2} = 1 \times 10^{-3} \text{ m}
$$

$$
A = \pi (1 \times 10^{-3} \text{ m})^2
$$
$$
A = \pi \times 1 \times 10^{-6} \text{ m}^2
$$
$$
A \approx 3.14159 \times 10^{-6} \text{ m}^2
$$

$$
R = (1.72 \times 10^{-8} \Omega \text{m}) \times \frac{50 \text{ m}}{3.14159 \times 10^{-6} \text{ m}^2}
$$
$$
R = \frac{8.6 \times 10^{-7} \Omega \text{m}^2}{3.14159 \times 10^{-6} \text{ m}^2}
$$
$$
R \approx 0.2737 \Omega
$$
The resistance of the wire is $\boxed{\text{0.274 \Omega}}$.

**Kirchhoff's Laws:**
*   **Kirchhoff's Current Law (KCL) / Junction Rule:** The algebraic sum of currents entering any junction (node) in an electrical circuit is equal to the algebraic sum of currents leaving that junction. In other words, the total current entering a junction must equal the total current leaving it. This is based on the principle of conservation of charge.
*   **Kirchhoff's Voltage Law (KVL) / Loop Rule:** The algebraic sum of the potential differences (voltages) around any closed loop in an electrical circuit is zero. This is based on the principle of conservation of energy.

**Application to a 2-loop circuit to find currents:**  
To apply Kirchhoff's laws to a 2-loop circuit (without a specific diagram, we describe the general method):
1.  **Assign Currents:** Assign a distinct current variable (e.g., $I_1, I_2, I_3$) and a direction to each branch of the circuit. If the assumed direction is wrong, the calculated current will be negative.
2.  **Apply KCL:** Apply Kirchhoff's Current Law at each junction where three or more branches meet. This will give you equations relating the currents. For a circuit with $N$ junctions, you will get $N-1$ independent KCL equations.
3.  **Apply KVL:** Identify all independent closed loops in the circuit. For each loop, apply Kirchhoff's Voltage Law.
    *   Choose a direction (clockwise or counter-clockwise) to traverse the loop.
    *   For a resistor, the potential change is $-IR$ if traversing in the direction of current, and $+IR$ if traversing opposite to the current.
    *   For a voltage source, the potential change is $+E$ if traversing from negative to positive terminal, and $-E$ if traversing from positive to negative terminal.
    *   Sum all potential changes around the loop and set the sum to zero.
4.  **Solve System of Equations:** You will now have a system of linear equations (from KCL and KVL). The number of independent equations should match the number of unknown currents. Solve these simultaneous equations to find the values of the unknown currents.

**Note: Without a specific 2-loop circuit diagram with component values, it is not possible to perform the actual calculation of currents.**