The Electric Bell Timing Circuit · AI Generator #GEN-C4F9BB3E

Physics · electromagnetism

Problem

An antique electric doorbell uses a clever RC timing circuit to control its ringing pattern. When the doorbell button is pressed, it charges a capacitor

C = 2.0 \times 10^{-6}\;\text{F}

through a resistor

R = 1.5 \times 10^6\;\Omega

from a

12\;\text{V}

battery. The bell rings only when the voltage across the capacitor exceeds

8.0\;\text{V}

. When the bell rings, it immediately discharges the capacitor completely through a low-resistance electromagnet coil, then the charging cycle begins again. If someone holds the doorbell button down continuously, what is the time interval between consecutive bell rings? Assume the discharge time is negligible compared to the charging time.

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