# Chapter 29 Emf and Circuits

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Chapter 29 Emf and Circuits. 第二十九章 電動勢與電路. Emf devices. An emf device is a charge pump that can maintain a potential difference between a pair of terminals. - PowerPoint PPT Presentation

### Text of Chapter 29 Emf and Circuits

• Chapter 29 Emf and Circuits

• Emf devicesAn emf device is a charge pump that can maintain a potential difference between a pair of terminals.Emf devices include battery, electric generator, solar cell, fuel cell, and thermopile. Physiological emf devices include electric eel, human being, and some plants.

• Work, energy, and emfThe emf of an emf device is defined to be the work per unit charge that the device does in moving charge from its low-potential terminal (-) to its high-potential terminal (+).

• An ideal emf device versus a real emf device

• Resistance in series

• PowerPower of the emf device is:Power transferred out is:

• Sample problem 1The emfs and resistances in the circuit have the following values: E1 = 4.4 V, E2 = 2.1 V, r1 = 2.3 , r2 = 1.8 , R = 5.5 . (a) What is the current i in the circuit? (b) What is the potential difference between the terminals of battery 1?Ans: (a) i = 240 mA; (b) 3.8 V

• Multiloop circuits

• Kirchhoff rulesJunction rule: The sum of the currents entering any junction in a circuit must equal to the sum of currents leaving that junction.Loop rule: The sum of the potential differences across all elements around any closed loop must be zero.

• Resistance in parallel

• Sample problem 2The elements in the circuit have the following values: E = 12 V, R1 = 20 , R2 = 20 , R3 = 30 , R4 = 8.0 . (a) What is the current through the battery? (b) What is the current through R2? (c) What is the current through R3?Ans: (a) 0.30 A; (b) 0.18 A; (c) 0.12 A.

• Sample problem 3The elements in the circuit have the following values: E1 = 3.0 V, E2 = 6.0 V, R1 = 2.0 , R2 = 4.0 . The three batteries are ideal batteries. Find the magnitude and direction of the current in each of the three batteries.Ans: i1 = 0.50 A; i2 = -0.25 A; i3 = 0.25 A.

• Sample problem 4Electric fish are able to generate current with biological cells called electroplaques, which are physiological emf devices. The electroplaques in the South American eel shown in the photograph are arranged in 140 rows, each row stretching horizontally along the body and each containing 5000 electroplaques shown in following page. Each electroplaque has an emf E = 0.15 V and an internal resistance r = 0.25 . The water surrounding the eel completes a circuit between the two ends of electroplaque arrays, one end at the animals head and the other near its tail.

• Sample problem 4 continue(a) If the water surrounding the eel has resistance Rw = 800 , how much current can the eel produce in the water? (b) How much current travels through each row of the eletroplaques?

• Galvanometer

• Ammeter

• Voltmeter

• The ammeter and the voltmeterAn ideal ammeter has zero resistance, and an ideal voltmeter has an infinite resistance.

• RC circuits

• Discharging a capacitor

• The RC time constanti

• Charging a capacitor

• Charging a capacitor

• Charging a capacitor

• Sample problem 5A capacitor of capacitance C is discharging through a resistor of resistance R. (a) In terms of the time constant = RC, when will the charge on the capacitor be half its initial value? (b) When will the energy stored in the capacitor be half its initial value?Ans: (a) RCln2 = 0.69; (b) RCln2 = 0.35

• Sample problem 6

• Sample problem 7

• Sample problem 8

• Sample problem 9

• Sample problem 10

• Sample problem 11Infinite resistor network

• Home workQuestion (): 16, 19, 21Exercise (): 17, 20Problem (): 18, 38, 42, 43, 44

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