Question

Match each statemet with one of the following options

A: ... the same

B....the same

1	When two or more different resistors are connected in series to a battery, the current through each is…
2	When two or more resistors are connected in parallel to a battery, the voltage across each is...
3	When two or more different capacitors are connected in series to a batter, the charge on each is...
4	When two or more different capacitors are connected in parallel to a battery, the voltage across each is...

Select the correct statements in the following list.

A	As more resistors are added in parallel to a constant voltage source, the power supplied by the source decreases.
B	A horizontal wire carries a current straight toward you. From your point of view, the magnetic field caused by this current circles the wire in a counter-clockwise direction
C	An electric current produces magnetic field.
D	As more and more capacitors are connected in parallel, the equivalent capacitance of the combination decreases.
E	A particle carrying a charge of +e travels in a circular path in a uniform magnetic field. If instead the particle carried a charge of +2e, the radius of the circular path would have been one-half the original radius.
F	The voltage across the terminals of a battery when a current flows is called the electromotive force.
G	If you connect two identical storage batteries together in parallel, and place them in a circuit, the combination will provide twice the voltage.
H	A charged particle moves across a constant magnetic field. The magnetic force on this particle causes the particle to accelerate.
I	A resistor and a capacitor are connected in series to an ideal battery of constant terminal voltage. At the moment contact is made with the battery, the voltage across the capacitor is zero.

Answer 1

Q1.When two or more different resistors are connected in series to a battery, same current flows through each of them

hence current through each is same

Q2.

parallel connection means a number of elements connected across the same potential difference

hence,
When two or more resistors are connected in parallel to a battery, voltage across each is the same

Q3.

when capacitors are connected in series, as positive plate of one is in contact with negative plate of other,

charge magnitude on each of the plate is same

hence charge on each of the capacitor connected in series is same

Q4. when capacitors are connected in parallel, by definition of parallel connection, each capacitor has same voltage across them

hence answer for each of the 4 questions is "SAME"

Q5.

A. As more resistors are added in parallel to a constant voltage source, the power supplied by the source decreases

statement is FALSE because parallel addition decreases net resistance of the circuit

as power=voltage^2/resistance, decrease in resistance means increase in power

B.
A horizontal wire carries a current straight toward you. From your point of view, the magnetic field caused by this current circles the wire in a counter-clockwise direction

statement is TRUE

using right hand thumb rule, it can be easily seen that the direction of magnetic field from my point of view would be counter clockwise

C. An electric current produces magnetic field.

statement is TRUE.

this particular finding was made by Orsted in 1820

D.As more and more capacitors are connected in parallel, the equivalent capacitance of the combination decreases.

statement is FALSE.

in parallel combination , capacitance values are added to obtain the equivalent capacitance

hence the equivalent capacitance increases.

E.

A particle carrying a charge of +e travels in a circular path in a uniform magnetic field. If instead the particle carried a charge of +2e, the radius of the circular path would have been one-half the original radius.

statement is TRUE

in a circular motion, centripetal force=force due to magnetic field

hence mass*speed^2/radius=charge*speed*magnetic field

with all other values kept constant, radius*charge=constant

so when charge is doubled, radius will be halved.

F.

The voltage across the terminals of a battery when a current flows is called the electromotive force

statement is TRUE.

G.

If you connect two identical storage batteries together in parallel, and place them in a circuit, the combination will provide twice the voltage.

statement is FALSE.

in parallel combination, voltage across each element is same

hence you will get the emf of a single battery

in order to get double the emf, conenct the battery in series with appropriate polarity.

H.A charged particle moves across a constant magnetic field. The magnetic force on this particle causes the particle to accelerate.

statement is TRUE

magnetic force=charge*speed of the particle*magnetic field*sin(angle between direction of charge and magnetic field)

I.

A resistor and a capacitor are connected in series to an ideal battery of constant terminal voltage. At the moment contact is made with the battery, the voltage across the capacitor is zero.

statement is TRUE

voltage across capacitor can not be changed suddenly

hence as initially before connection , voltage across capacitor is zero, right after connecting the battery, the potential difference across the capacitor will remain zero