A voltage source E=5V is connected in series to a capacitance of 1 x 106 farad and a resistance of 4 ohms.What is the appropriate equation to model the behavior of the charge, Q.
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- What is the value of the unknown R if the voltage across the 500 resistances is 4.00 V?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) ?= ?/?If the network capacitors is connected to a 36 V source and the capacitance of C1 and C2 = 4.0 F and C3 and C4 = 6.0 F, what is the equivalent capacitance and the total charge ?
- A capacitor with capacitance C = 2.5 μF is charged to a voltage V = 5V. It is then discharged through a resistor R = 100Ω. What is the initial discharge current through the resistor?A constant current transfers 10*10^14 electrons onto one plate of a capacitor in 3 minutes [min]. (a) What is the current, in units of amperes [A]? Express the answer using an appropriate SI prefix such that there are only 1, 2, or 3 digits shown to the left of the decimal. (b) If the capacitor has a capacitance of microfarads [F], what is the voltage in units of volts [V] across the capacitor?In the figure the ideal batteries have emfs ε1 = 150 V and ε2 = 50 V and the resistances are R1 = 3.0 Ω and R2 = 2.0 Ω. If the potential at P is defined to be 110 V, what is the potential at Q?
- A capacitor with a capacitance of 3.5 uF is initially uncharged. It is connected in series with a switch of negligible resistance, a resistor with a resistance of 10.5 kOhm, and a battery that has a potential difference of 105V. (a) Immediately after the switch is closed, what is the voltage drop VC, in volts, across the capacitor? (b) Immediately after the switch is closed, what is the voltage drop VR, in volts, across the resistor? (c) Immediately after the switch is closed, what is the current, in amperes, through the resistor? (d) Find an expression for the time after the switch is closed when the current in the resistor equals half its maximum value. (e) What is the charge Q, in microcoulombs, on the capacitor when the current in the resistor equals one half its maximum value.The following graph represents the charge-discharge profile of a Li-ion battery in the 1st and 50th cycles, cycled at a rate of 0.1 C (1C = 274 mA h g-1 ) in the voltage range of 3.0 to 4.6 V. The battery is made up of LiCoO2 cathode and Li anode. Answer the following questions. a. What is the value of charge-discharge current density in this case? How long does it take for this battery to discharge from 4.6 V to 3.0 V in 50th cycle? b. Calculate Coulombic efficiency at 1st and 50th cycles. Why are these values different? c. How would this graph look like if LiCoO2 and Li were replaced by MnO2 and graphite electrodes respectively Make a rough sketch. d. Mention any two practical disadvantages of this battery?If emf of the ideal battery is V = 100 V, what is the potential difference across R5 for the circuit shown in the figure?
- By using KVL, KCL, find the potential drop and the current through each resistor in the circuit shown in the figure where Ry =10, Ry =R3 =40, R, =60 and the battery provides a potential difference of 12 V.The total charge a battery can supply is rated in mA • h, the product of the current (in mA) and the time (in h) that the battery can provide this current. A battery rated at 1000 mA # h can supply a current of 1000 mA for 1.0 h, 500 mA current for 2.0 h, and so on. A typical AA rechargeable battery has a voltage of 1.2 V and a rating of 1800 mA • h. For how long could this battery drive current through a long, thin wire of resistance 22 Ω?You apply a potential difference of 3.4 V between the ends of a wire that is 3 m in length and 0.5 mm in radius. The resulting current through the wire is 12 A. What is the resistivity of the wire in nano-ohm-meter?