Question 5 11 R₁ 12 E2- B R₂ 13 Ez A The circuit above consists of 3 different imperfect batteries connected to two equal resistors. Find the currents I1, I2 and 13 leaving the batteries, and the potential difference from A to B, VAB. Take E₁ = 6 V, r1= 192, E2 = 10 V, r2 = 20, E3= 12 V, r3= 392 and R1 = R2= 2002.

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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Question 5
11
R₁
12
E2-
B
(a) the resistance of the wire,
(b) the current,
(c) the power dissipated in the wire.
R₂
13
A
The circuit above consists of 3 different imperfect batteries connected to two equal resistors.
Find the currents I1, I2 and 13 leaving the batteries, and the potential difference from A to B,
VAB.
Ez
Take E₁ = 6 V, r1= 122, E2 = 10 V, r2 = 292, E3 = 12 V, r3= 302 and R1 = R2= 2002.
Question 6
The circuit alongside shows a 100 µF capacitor connected in parallel with a 1509 resistor
and a 3.0 V battery. The switch, which was initially closed, is opened at time t = 0. What is
the current flowing through the resistor immediately after the switch is opened? After how
long will the current have dropped to 1% of this value? What is the energy dissipated in the
resistor during the complete discharge?
Question 7
Copper has a resistivity of 1.7×10-80 m. A wire of diameter 1.5 mm and length 25 m is connected
across a potential difference of 50 V. Calculate:
(i) delivered to the load resistor;
(ii) dissipated inside the battery;
(iii) produced in total by the battery?
Question 8
A platinum resistance thermometer measures temperature by the change in the electrical
resistance of a platinum wire. The coefficient of resistivity for platinum is 3.92×10-³ °C-¹. At a
temperature of 20.0°C, the thermometer has a resistance of 50.0 0; when immersed in a crucible
containing melting indium its resistance is 76.8. What is the melting point of indium?
Question 9
An electric fire has a heating element rated at 1 kW when operating at 230 V.
(a) what is its resistance?
(b) what will be the power dissipation if the mains voltage drops to 210 V, assuming that the
element obeys Ohm's Law?
Question 10
Given that copper has a resistivity of 1.7x10-8 m and has 8.5×1028 free electrons per cubic metre,
calculate the mean time between collisions between a conduction electron and the ionic lattice
according to the Drude model.
If the copper is exposed to an electric field of 0.5 V m¹, what average drift velocity will the electron
achieve? (The mass of an electron is 9.11×10-³¹ kg.)
Question 11
A battery has an emf of 1.60 V and an internal resistance of 0.150. It is connected to a load
resistance of 3.00.
(a) What is the terminal voltage of the battery?
(b) How much power is
Transcribed Image Text:>>> Question 5 11 R₁ 12 E2- B (a) the resistance of the wire, (b) the current, (c) the power dissipated in the wire. R₂ 13 A The circuit above consists of 3 different imperfect batteries connected to two equal resistors. Find the currents I1, I2 and 13 leaving the batteries, and the potential difference from A to B, VAB. Ez Take E₁ = 6 V, r1= 122, E2 = 10 V, r2 = 292, E3 = 12 V, r3= 302 and R1 = R2= 2002. Question 6 The circuit alongside shows a 100 µF capacitor connected in parallel with a 1509 resistor and a 3.0 V battery. The switch, which was initially closed, is opened at time t = 0. What is the current flowing through the resistor immediately after the switch is opened? After how long will the current have dropped to 1% of this value? What is the energy dissipated in the resistor during the complete discharge? Question 7 Copper has a resistivity of 1.7×10-80 m. A wire of diameter 1.5 mm and length 25 m is connected across a potential difference of 50 V. Calculate: (i) delivered to the load resistor; (ii) dissipated inside the battery; (iii) produced in total by the battery? Question 8 A platinum resistance thermometer measures temperature by the change in the electrical resistance of a platinum wire. The coefficient of resistivity for platinum is 3.92×10-³ °C-¹. At a temperature of 20.0°C, the thermometer has a resistance of 50.0 0; when immersed in a crucible containing melting indium its resistance is 76.8. What is the melting point of indium? Question 9 An electric fire has a heating element rated at 1 kW when operating at 230 V. (a) what is its resistance? (b) what will be the power dissipation if the mains voltage drops to 210 V, assuming that the element obeys Ohm's Law? Question 10 Given that copper has a resistivity of 1.7x10-8 m and has 8.5×1028 free electrons per cubic metre, calculate the mean time between collisions between a conduction electron and the ionic lattice according to the Drude model. If the copper is exposed to an electric field of 0.5 V m¹, what average drift velocity will the electron achieve? (The mass of an electron is 9.11×10-³¹ kg.) Question 11 A battery has an emf of 1.60 V and an internal resistance of 0.150. It is connected to a load resistance of 3.00. (a) What is the terminal voltage of the battery? (b) How much power is
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