Question

A battery of e.m.f. 4V and internal resistance 2 ohms is joined to a resistor of 8 ohms. What additional resistance in series with 8 ohms resistor would produce a terminal p.d. of 3.6V?​

Answer 1

Answer:

3.2V & 10Ω

Explanation:

1st case

I=E/R+r

= 4/(8+2)

=0.4A

Again,

V=IR

= 0.4×8

=3.2V

2nd case

V'=I(R+R')

V'=(E(R+R'))/((R+R')+r)

3.6=(4(8+R'))/((8+R')+2)

28.8+3.6R'+7.2=32+4R'

0.4R'=4

∴ R' = 10

Answer 2

Answer:

The correct answer is 3.2V & 10Ω

Explanation:

1st case

I=E/R+r

= 4/(8+2)

=0.4A

Again,

V=IR

= 0.4×8

=3.2V

2nd case

V'=I(R+R')

V'=(E(R+R'))/((R+R')+r)

3.6=(4(8+R'))/((8+R')+2)

28.8+3.6R'+7.2=32+4R'

0.4R'=4

∴ R' = 10

Resistance is the opposition that a substance offers to the flow of electric current.  It is represented by the uppercase letter R.  The standard unit of resistance is the ohm, sometimes written out as a word, and sometimes symbolized by the uppercase Greek letter omega

while an electric current of 1 ampere passes via a thing throughout which a capacity difference (voltage) of one volt exists, then the resistance of that aspect is one ohm. (For more dialogue of the relationship amongst modern, resistance and voltage, see Ohm's regulation.)

In wellknown, when the implemented voltage is held consistent, the cutting-edge in a right away-modern-day (DC) electric circuit is inversely proportional to the resistance. If the resistance is doubled, the modern-day is reduce in 1/2; if the resistance is halved, the modern-day is doubled. This rule also holds actual for most low-frequency alternating-contemporary (AC) structures, together with family software circuits. In a few AC circuits, specifically at high frequencies, the situation is greater complex due to the fact a few additives in those structures can store and launch electricity, in addition to dissipating or changing it.

the electric resistance consistent with unit length, location, or extent of a substance is known as resistivity. Resistivity figures are frequently exact for copper and aluminum wire, in ohms per kilometer.

opposition to AC, but now not to DC, is a assets referred to as reactance. In an AC circuit, the resistance and reactance integrate vectorially to yield impedance.

Resistance contrasts with conductance, that's a measure of the benefit with which electrical contemporary flows via a substance.

while an electric current of 1 ampere passes via a thing throughout which a capacity difference (voltage) of one volt exists, then the resistance of that aspect is one ohm. (For more dialogue of the relationship amongst modern, resistance and voltage, see Ohm's regulation.)

A battery of e.m.f. 4V and internal resistance 2 ohms is joined to a resistor of 8 ohm

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