Two Identical Circuits Have a Capacitor in Series with a Resistor

question 24

Multiple Choice

Two identical circuits have a capacitor in series with a resistor and a switch. In circuit A, the resistor has resistance R, while in circuit B, its resistance is 4R. The capacitors are identical. Each capacitor begins fully charged, and each circuit is open. When each circuit is completed (i.e., the switch in them is closed) , the capacitor will begin to discharge. If a time t is required for circuit A's capacitor to fully discharge (say, by 99%) , what time will be required for circuit B's capacitor to do the same?

• A) 4t
• B) 2t
• C) t
• D) 0.5t
• E) 0.25t

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Definitions:

Hot Waters

Water that has been heated by geological processes, often found in geothermal springs or near volcanic areas, and can contain minerals and sustain unique ecosystems.

Granite

A coarse-grained igneous rock composed mainly of quartz, feldspar, and mica, commonly found in the continental crust.

Coal Deposits

Accumulations of coal material in the Earth's crust, typically originating from plant matter compacted over millions of years.

Sedimentary Rocks

Layers of rock formed by the accumulation and consolidation of sediment, typically found on the Earth's surface.