Circuit Analysis of a Lamp and Resistors

Question 10. Functioning of a Lamp. A lamp $L$ $(4\text{V}; 2\text{W})$, a dry cell $G$ $(12\text{V})$ and two resistors of resistances $R_1$ and $R_2$ are connected in an electric circuit as shown in the given diagram. A- Switch $K$ is closed, the lamp functions normally, and the current sent by the dry cell $I_{\text{Cell}} = 2\text{A}$. 1. Determine the current that traverses $L$ when it functions normally. 2. Determine the current that traverses each one of the two resistors. 3. Find the voltages $U_{SH}$ and $U_{ST}$. 4. Calculate $R_1$ and $R_2$. 5. Determine the resistance of the equivalent resistor of $R_1$, $R_2$ and $L$. 6. Calculate, in J and kWh, the energy consumed by the circuit in 20 hours. B- The terminals $T$ and $S$ were joined accidentally by a connecting wire. 1. Does the lamp function normally in this case? Justify your answer. 2. What would happen to the lamp? 3. What safety element should be added to the circuit in order to protect the lamp from such accident? 4. Give the inscriptions of the safety element and show its connection in the circuit.

This question includes visual content: The image shows a circuit diagram composed of a DC voltage source, a lamp (symbolized by a circle with an X), and two rectangular blocks representing resistors labeled R1 and R2. The circuit includes junction points labeled T, S, H, M, P, and N. The lamp is in a parallel configuration with R2, and this parallel combination is in series with R1. The circuit contains a switch labeled K.