What is the formula used to calculate the time constant of a series R-C circuit____________?
Show answer Hide answer
Answer: C. RC
Explanation
The time constant formula for a series resistor-capacitor circuit is resistance multiplied by capacitance. Resistance is measured in ohms and capacitance is measured in farads to yield seconds. This product determines how rapidly the capacitor charges toward the applied voltage level. Exponential charging rates depend directly on both circuit resistance and storage capacity. Larger resistors limit charging current while larger capacitors store more electrical charge. Dimensional analysis confirms ohms multiplied by farads results directly in units of time.
Electronic timer circuits select specific resistor and capacitor values to achieve desired delays. Flash memory devices rely on controlled RC charging principles for data storage operations. Power supply decoupling networks use time constants to stabilize transient voltage fluctuations. Dividing resistance by capacitance yields incorrect units and does not calculate time constants. Squaring the capacitance value creates an invalid mathematical relationship for time constants. Squaring the resistance value distorts the linear relationship between resistance and charging time.
- Subject
- Engineering
- Category
- Electrical Engineering
- Topic
- —
- Difficulty
- medium
Related questions
Q1. The r.m.s. value of an alternating current corresponds to the steady direct current (D.C.) which, when passing through a given circuit for an equivalent duration, produces__________?
Show answer Hide answer
Answer: B. the same heat as produced by A.C. when flowing through the same circuit
The root-mean-square value is specifically calibrated to equate AC heating effects to DC. Passing a steady direct current through a resistor produces a specific thermal energy output. An alternating current with a given...
Q2. With what types of circuit elements are transient currents typically associated____________?
Show answer Hide answer
Answer: A. changes in the stored energy in the inductors and capacitors
Transient currents arise when electrical circuits transition from one steady state to another. Inductors and capacitors store energy that cannot change instantaneously during switching operations. Redistributing this sto...
Q3. The time constant of an electrical circuit represents the duration in seconds following voltage application required for each___________?
Show answer Hide answer
Answer: C. 63% of maximum value
The mathematical exponential growth equation reaches sixty-three percent at one time constant. Charging a capacitor through a resistor follows this predictable exponential voltage curve. One time constant is defined as t...
Q4. When an alternating current flows through an ohmic resistor, what percentage of electrical power is transformed into heat__________?
Show answer Hide answer
Answer: B. true power
Ohmic resistors possess electrical resistance that converts electrical energy into thermal heat. True power represents the actual working energy dissipated within the resistive material. Reactive power is not converted i...
Q5. What factors determine the time constant of an inductive circuit___________?
Show answer Hide answer
Answer: A. increases with increase of inductance and decrease of resistance
The time constant of an inductive circuit is calculated as inductance divided by resistance. Larger inductance increases energy storage capacity, lengthening the time required for current changes. Higher resistance incre...
Q6. In what specific waveform are the r.m.s. value and the mean value entirely identical___________?
Show answer Hide answer
Answer: C. square wave
Square waves have a constant amplitude that never varies throughout their high and low states. Because the magnitude is always constant, the root-mean-square value equals the mean value. Both mathematical calculations yi...