If the amount of current in a conductor is equal to (0.4A) calculate the amount of charge which passes through the cross section of the conductor during: (a)2 second (b)4 minutes.
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- A car battery is rated at 600 AH (i.e., amps x hours). Calculate the number of coulombs this is equivalent to.What is the resulting current (in A), if 0.6 C of electrical charge is transferred in 64.2 ms? Provide a numerical answer without unit to at least 2 decimal places.(express in exponential form The vector current density of a 3-meter-long and 3mm diameter conductor is given as 155630 A/m?. Determine the current on the conductor, its free electron density (express in exponential form), the drift velocity of the charges and the number of electrons passing through the conductor for 3 seconds(express in exponential form.
- A student woants to identify the Resistivity of a conducting wire of unknown material. Resistivity is a property of a material that quantifies how strongly it conducts electric current, and it is formulated as, of p= R4 where R is the Resistance (ohms), A cross-sectional area (meters-squared) and I is the length (meters) of the wire. The student runs an experiment on a cylindrical wire of a length l of 2 centimeters and the cross- sectional area A of the wire is 6.1 centimeters-squared. The measurements of the Current is as below Dataset Voltage (Applied, Volts) Current (Measured, Amperes)A 5 strand conductor is arranged in a cross. Find the Area (in cmil) of the wire if inner radius is 2 mm. Note: Outside diameter of the biggest circle is 12 mmSuppose the current in a conductor decreases exponentially with time according to the equation I(t) = I,er, where I, is the initial current (at t = 0), and t is a constant having dimensions of time. Consider a fixed observation point within the conductor. (Use the following as necessary: I, and t) (a) How much charge passes this point between t = 0 and t = t? (If applicable, round any coefficients to 3 decimal places.) Q(t) = (b) How much charge passes this point between t = 0 and t = 10t? (If applicable, round any coefficients to 5 decimal places.) Q(10t) = %3D (c) How much charge passes this point between t = O and t = o? (If applicable, round any coefficients to 3 decimal places.) Q(0) =
- During an experiment to verify Ohm's law, the current and resistance of a circuit are measured. [Resistance is measured in Ohm () and current in Ampere (A)]. www R +, Battery The measured value of the current is I 3±0.1 A and that of the resistance is R = 17+0.3 . The voltage applied (in Volts) can be calculated using the formula, V = IR. Calculate the, a) Voltage applied in the circuit (in Volts) = b) Fractional uncertainty in the voltage = c) Absolute uncertainty (in Volts) in the voltage =A metallic wire with resistance 8 0, crosS-sectional area 8.2x10 m², and conductivity o= 5.81×10 0 m mV/m) inside the wire is; -1 is connected to a battery of & = 14 V. The electric field E (in 3.Consider the circuit shown in the figure below, where C, = 8.00 µF, C, = 6.00 µF, and AV = 18.0 V. Capacitor C, is first charged by closing switch S,. Switch S, is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S,. AV (a) Calculate the initial charge (in µC) acquired by C,. (Round your answer to at least one decimal place.) 144 (b) Calculate the final charge (in µC) on each capacitor. (Round your answers to at least the nearest integer.) Q, = 61.7 X µC Q2 = 82.3 X µC (c) What If? After a very long time, switch S, is also closed. By what amount does the charge on the second capacitor change after S, has been closed for a very long time? (Give your answer in µC.) 46.3 V µC
- Consider the circuit shown in the figure below, where C, = 8.00 µF, C, = 6.00 µF, and AV = 18.0 V. Capacitor C, is first charged by closing switch S,. Switch s, is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S,. AV (a) Calculate the initial charge (in µC) acquired by C,. (Round your answer to at least one decimal place.) (b) Calculate the final charge (in µC) on each capacitor. (Round your answers to at least the nearest integer.) Q1 = %3D (c) What If? After a very long time, switch S, is also closed. By what amount does the charge on the second capacitor change after S, has been closed for a very long time? (Give your answer in µC.)The total charge flowing out of one end of a small copper wire and into anunknown device is determined to follow the relationship q(t) = 5e−t/2 C, where t is expressed in seconds. Calculate the current in A flowing into the device,taking note of the sign if t = 1 sec. Write the answer in two (2) decimal places.sectional area of the wire. For a given current, as the diameter 9.4 Check Your Understanding The current density is proportional to the current and inversely proporional to the area. If the current density in a conducting wire increases, what would happen to the drift velocity of the charges in the wire? is the significance of the current density? The current density is proportional to the curront and the current is the