please solve all the questions urgently please. Please don't delay.

\"*Show all necessary works with proper explanation; Partial credit will be given if merited. 1. Wires A and B are both made of copper. The wires are connected in series, so we know they carry the same current. However, the diameter of wire A is twice the diameter of wire B. Which wire has the higher number density (number per unit volume) of charge carriers? 2. If the current in a resistor is I, the power delivered to the resistor is P. If the current in the resistor is increased to 31', what is the power then delivered to the resistor? (Assume the resistance of the resistor does not change.) 3. An 1800W toaster, a 1.3-kW electric frying pan, and a 100-W lamp are plugged into the same 20-A, lZOV circuit. What current is drawn by each device, and what is the resistance of each device? 4. A lOM resistor is connected in series with a 1.0uF capacitor and a battery with emf 12.0 V. Before the switch is closed at time t:0 the capacitor is uncharged. (a) What is the time constant? (b) What fraction of the nal charge Qf is on the capacitor at t:46s'? (c) What fraction of the initial current Io is still owing at t :46s? 5. A capacitor is discharging through a resistor. If it takes a time T for the charge on a capacitor to drop to half its initial value, how long (in terms of I) does it take for the stored energy to drop to half its initial value? 6. For the circuit shown in the Figure below, C : 0.120 t! F and 8 = 100 V. The switch throw is rotated to contact b after having been at contact a for a long time, and 4.00 s later the potential difference across the capacitor is equal to 82. What is the value of R? a