To solve for the voltage drop across the resistor [tex]\( R_2 \)[/tex] in a parallel circuit, it's important to understand how voltage behaves in parallel circuits.
Step-by-Step Solution:
1. Understand Parallel Circuits:
In a parallel circuit, the voltage across each component (resistor, in this case) is the same.
2. Given Information:
- Resistor values: [tex]\( R_1 = 30 \Omega \)[/tex] and [tex]\( R_2 = 60 \Omega \)[/tex]
- Supply voltage ([tex]\( V_{\text{supply}} \)[/tex]): 24 V
3. Voltage Drop Across [tex]\( R_2 \)[/tex]:
Since [tex]\( R_1 \)[/tex] and [tex]\( R_2 \)[/tex] are in parallel, the voltage drop across [tex]\( R_2 \)[/tex] is the same as the supply voltage.
Calculation:
- Voltage across [tex]\( R_2 \)[/tex]: [tex]\( V_{R_2} = V_{\text{supply}} \)[/tex]
- [tex]\( V_{R_2} = 24 \)[/tex] V
Therefore, the voltage drop across [tex]\( R_2 \)[/tex] is:
[tex]\[ \boxed{24 \text{ V}} \][/tex]
The correct answer is [tex]\( \boxed{24 \text{ V}} \)[/tex].
