Two Capacitors with Capacitances of 1

question 21

Multiple Choice

Two capacitors with capacitances of 1.5 μC and 0.25 μF,respectively,are connected in parallel.The system is connected to a 40-V battery.What charge accumulates on the 1.5-μF capacitor?

• A) 100 μC
• B) 75 μC
• C) 60 μC
• D) 33 μC

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Definitions:

Truth Table

A mathematical table used in logic to determine the veracity of various propositions under all possible scenarios.

Hypothetical Syllogism (HS)

A form of deductive reasoning that connects two conditional statements to arrive at a conclusion, if P then Q; if Q then R, therefore if P then R.

Modus Ponens (MP)

A valid form of argument where if a conditional statement ("if p then q") is accepted, and the antecedent (p) is true, then the consequent (q) must also be true.

Modus Tollens (MT)

A form of logical argument where, from "If P then Q" and "Not Q," it follows that "Not P."