1.26 The voltage and current at the terminals of an auto- mobile battery during a charge cycle are shown in Fig. P1.26. a) Calculate the total charge transferred to the battery. b) Calculate the total energy transferred to the battery. Figure P1.26
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- The voltage V (volts), current I (amperes), andresistance R (ohms) of an electric circuitare related by the equation V = IR. Suppose that V is increasing atthe rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t denote time in seconds. What is the value of dV/dt?The voltage V (volts), current I (amperes), andresistance R (ohms) of an electric circuitare related by the equation V = IR. Suppose that V is increasing atthe rate of 1 volt/sec while I is decreasing at the rate of 1/3 amp/sec. Let t denote time in seconds. What equation relates dR/dt to dV/dt and dI/dt?In electrical theory, Ohm’s law states that I = V/R , where I is the current in amperes, V is the electromotive force in volts, and R is the resistance in ohms. In a certain circuit V = 110 and R = 50 . If V and R are to be changed by the same numerical amount, what change in them will cause I to double?
- Compute the value of voltage drop V1.The prefix “mega” (M) and “kilo” (k), when referring to amounts of computer data, refer to factors of 1024 or 210 rather than 1000 for the prefix kilo, and 10242 = 220 rather than 1,000,000 for the prefix Mega (M). If a wireless (WiFi) router transfers 150 Mbps of data, how many bits per second is that in decimal arithmetic?The quantity of charge through a conductor is modeledas Q=4.00Cs4t41.00Cst+6.00mc .What is the current at time t = 3.00 s?
- A battery has an emf of 3V and an internal resistance of 2 ohms. If a wire with resistance R is connected to this battery and 133mA of current flows through it, what is the numerical value of R?A 300-km-long high-voltage transmission line 2.0 cm in diameter carries a steady current of 1,240 A. If the conductor is copper with a free charge density of 8.5 1028 electrons per cubic meter, how many years does it take one electron to travel the full length of the cable? (Use 3.156 107 for the number of seconds in a year.) ?yrThe voltage across a membrane forming a cell wall is 84 mV and the membrane is 7.5 nm thick. What is the electric field strength in the cell wall, in volts per meter?
- An electric current in a conductor varies with time according to the expression I(t) = 94 sin (180?t), where I is in amperes and t is in seconds. What is the total charge passing a given point in the conductor from t = 0 to t = 1/240 s?A student Mei who is doing the experiment measures a voltage V = 0.094954 V and a current I = 1.0747 A, then she uses equation (2) to calculate the resistance R. What value does Mei determine for R? equation(2) ?= ?/?At 20°C, the carbon resistor in an electric circuit connected to a 5.7-V battery has a resistance of 2.7 ✕ 102 Ω. What is the current in the circuit when the temperature of the carbon rises to 90°C? give answer in mA