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1.4. The charge cycle shown in Figure P1.4 is an example of a three-rate charge. The current is held constant at 30 mA for 6 h. Then it is switched to 20 mA for the next 3 h. Find: a. The total charge transferred to the battery. b. The energy transferred to the battery. Hint: Energy w is the integral of power, or P = dw/dt.

1.4. The charge cycle shown in Figure P1.4 is an example of a three-rate charge. The current is held constant at 30 mA for 6 h. Then it is switched to 20 mA for the next 3 h. Find: a. The total charge transferred to the battery. b. The energy transferred to the battery. Hint: Energy w is the integral of power, or P = dw/dt.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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HOMEWORK PROBLEMS Section 1.2: Charge, Current and Voltage 1.1 A free electron has an initial potential energy per unit charge (voltage) of 17 kJ/C and a velocity of 93 Mm/s. Later, its potential energy per unit charge is 6 kJ/C. Determine the change in velocity of the electron. 1.2 The units for voltage, current, and resistance are the volt (V), the ampere (A), and the ohm (S2), respectively. Express each unit in fundamental MKS units. 1.3 A particular fully charged battery can deliver 2.7.106 coulombs of charge. a. What is the capacity of the battery in ampere-hours? b. How many electrons can be delivered? inoru 1.4. The charge cycle shown in Figure P1.4 is an example of a three-rate charge. The current is held constant at 30 mA for 6 h. Then it is switched to 20 mA for the next 3 h. Find: a. The total charge transferred to the battery. b. The energy transferred to the battery. Hint: Energy w is the integral of power, or P = dw/dt. Battery voltage Battery current 1.7 V 1.2 V 1.5 0.6 V 0.5 V 30 mA 20 mA 0 0 Figure P1.4 3h 3h 6h 6h 9h 9h Batteries (e.g., lead-acid batteries) store and release chemical potential energy. Batteries do not store electric charge. During discharge, electrons exit the cathode terminal and reenter the battery at the anode terminal having done work on some external device (e.g., a lightbulb). The chemical energy stored in the battery is used to replenish the potential energy of those same electrons. It is convenient to think of positive carriers flowing in the opposite direction, that is, conventional current, and exiting at a highe auto voltage. (Benjamin Franklin caused this mess!) For a battery rated at 12 V and 350 A-h, determine:
Transcribed Image Text:HOMEWORK PROBLEMS Section 1.2: Charge, Current and Voltage 1.1 A free electron has an initial potential energy per unit charge (voltage) of 17 kJ/C and a velocity of 93 Mm/s. Later, its potential energy per unit charge is 6 kJ/C. Determine the change in velocity of the electron. 1.2 The units for voltage, current, and resistance are the volt (V), the ampere (A), and the ohm (S2), respectively. Express each unit in fundamental MKS units. 1.3 A particular fully charged battery can deliver 2.7.106 coulombs of charge. a. What is the capacity of the battery in ampere-hours? b. How many electrons can be delivered? inoru 1.4. The charge cycle shown in Figure P1.4 is an example of a three-rate charge. The current is held constant at 30 mA for 6 h. Then it is switched to 20 mA for the next 3 h. Find: a. The total charge transferred to the battery. b. The energy transferred to the battery. Hint: Energy w is the integral of power, or P = dw/dt. Battery voltage Battery current 1.7 V 1.2 V 1.5 0.6 V 0.5 V 30 mA 20 mA 0 0 Figure P1.4 3h 3h 6h 6h 9h 9h Batteries (e.g., lead-acid batteries) store and release chemical potential energy. Batteries do not store electric charge. During discharge, electrons exit the cathode terminal and reenter the battery at the anode terminal having done work on some external device (e.g., a lightbulb). The chemical energy stored in the battery is used to replenish the potential energy of those same electrons. It is convenient to think of positive carriers flowing in the opposite direction, that is, conventional current, and exiting at a highe auto voltage. (Benjamin Franklin caused this mess!) For a battery rated at 12 V and 350 A-h, determine:
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