An Uncharged 30

question 24

Essay

An uncharged 30.0-µF capacitor is connected in series with a 25.0-Ω resistor,a DC battery,and an open switch.The battery has an internal resistance of 10.0 Ω and the open-circuit voltage across its terminals is 50.0 V.The leads have no appreciable resistance.At time t = 0,the switch is suddenly closed.
(a)What is the maximum current through the 25.0-Ω resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)?
(b)What is the maximum charge that the capacitor receives?
(c)When the current in the circuit is 0.850 A,how much charge is on the plates of the capacitor?

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Definitions:

Efferent Nerves

Nerves that carry neural impulses away from the central nervous system to effectors such as muscles or glands.

Afferent Nerves

Afferent nerves are sensory nerves that carry information from sensory organs and structures of the body to the brain and spinal cord.

Olfactory Nerves

Cranial nerves responsible for conveying sensory information regarding smells from the nose to the brain, playing a crucial role in the sense of smell.

Auditory Nerves

The cranial nerves that transmit sound information from the inner ear to the brain for auditory processing.