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The edge of a cube was found to be 1.50 plus or minus 0.05 what is its surface area and its volume.

When a 12.0 car battery power a single 30.0w headlight how many electrons pass through it each second




A 36-ohm resistor is connected in parallel with an unknown resistor R. Their combination is then connected in series with a 12-ohm resistor. Find the value of R such that power drawn by the parallel combination of 36 ohms and R is equal to the power in the 12-ohm resistor.


Your mother is using an electric flat iron that draws a current of 15 A when connected to a 220 V line.

(a) What is the resistance of the heating element of the flat iron assuming that it obeys Ohm’s law? What is the resistivity of the heating element if it is a wire that is 2.7 cm long with a cross-sectional area of 2.1 x 10-4 m2?



An extension wire in your house is 3 meters long with a cross-sectional are of 4.50 x 10-6 m2. An electrician experienced a mild electric shock when he accidentally touched this wire carrying 5.2 mA for approximately 1.2 s. How many electrons constitute the given current he experienced?



the earth in the direction 30 degrees north of east. If the velocity of the boat due to wind is 3kph eastward, and due to water current, its velocity is 7kph southward. What are the magnitude and direction of the velocity of the boat due to its own power?

A compound gear train has a 30tooth driver gear A, machine with a 90tooth follower gear B, mounted on thesame shaft as Band attached to it's gear Cwith 60 teeth, machine with a gear D on the output shaft having 120teeth. Calculate the velocity ratio and mechanical advantage if the overall efficiency is 72%

Using Stoke’s Theorem evaluate the line integral ∫ ↓c F. dl where C is the ellipse


x²/4 +y²/16 = 1 in the xy - plane and F vector = 2x²i^ +4xj^ +2z²k^.

A dielectric object is placed in an electric field. The object becomes polarised and


a large number of atomic/molecular dipoles in the object align in the direction of the applied electric field. Derive an expression for the electric potential due to this polarised dielectric at a point outside the dielectric.

The expression of the electric field associated with an electromagnetic wave in vacuum is given by



E vector =(200Vm^-1) x^ . sin(2π×10^8 t -ky)


Determine the the direction of propagation, wave number, frequency, and the


magnitude and direction of the magnetic field associated with the wave.