Consider two capacitors with unequal capacitance connected in parallel to a battery. which of the following statements are true?

-the equivalent capacitance of the combination is greater than the capacitance of either of the capacitors.
-the algebraic sum of the voltages across the two capacitors is equal to the voltage supplied by the battery.
-the voltage across each of the capacitors is the same.
-the sum of the charge stored on each capacitor is equal to the charge supplied by the battery.
-the equivalent capacitance of the combination is less than the capacitance of either of the capacitors
-the charge stored on each of the capacitors is the same.

When the force acting on an object points at least partially in the direction of the motion the work done is considered to be negative

Search coils and credit cards. one practical way to measure magnetic field strength uses a small, closely wound coil called a search coil. the coil is initially held with its plane perpendicular to a magnetic field. the coil is then either quickly rotated a quarter-turn about a diameter or quickly pulled out of the field. (a) derive the equation relating the total charge q that flows through a search coil to the magnetic-field magnitude b. the search coil has n turns, each with area a, and the flux through the coil is decreased from its initial maximum value to zero in a time ∆t. the resistance of the coil is r, and the total charge is q = i∆t, where i is the average current induced by the change in flux. (b) in a credit card reader, the magnetic strip on the back of a credit card is rapidly “swiped” past a coil within the reader. explain, using the same ideas that underlie the operation of a search coil, how the reader can decode the information stored in the pattern of magnetization on the strip. (c) is it necessary that the credit card be “swiped” through the reader at exactly the right speed? why or why not?

Astudent pushes a 60-n block across the floor for a distance of 10 m. how much work was done to move the block