Math Problem Statement
Solution
The image contains a set of multiple-choice capacitor-related problems in Bengali. I'll walk you through solving a few of them.
Problem 205: Two capacitors with capacitances of 4.4 µF and 8 µF are connected in parallel with a 100V battery. What is the total charge stored by the capacitors?
Solution: In a parallel combination, the total charge is given by: Where (since it's a parallel circuit).
Now, Then, the total charge :
So, the closest answer seems to match option (3).
Would you like to proceed with more problems or need further explanation?
Here are five related questions for further exploration:
- How do capacitors behave differently when arranged in series versus parallel?
- What is the formula for calculating the equivalent capacitance in series?
- How does the stored energy in a capacitor change with voltage?
- Why is the total charge different in series versus parallel connections?
- What is the physical meaning of capacitance?
Tip: Remember that the capacitance in parallel adds up, whereas in series, the reciprocal sum determines the total capacitance.
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Math Problem Analysis
Mathematical Concepts
Capacitance
Parallel Circuits
Charge Calculation
Formulas
Q = C_total × V
C_total = C1 + C2 (for parallel circuits)
Theorems
Capacitance in Parallel Circuits
Suitable Grade Level
Grades 10-12
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