Question

If percentage error in two resistance R1 and R2 are 2% and 3% respectively of equivalent resistance ​\sqrt{r1r2} then find percentage error​

Answer 1

Answer:

ɢɢɪɢᴅᴡ6ɪᴛᴀᴜʀꜱᴩꜱᴏꜱyᴋy

Answer 2

Step-by-step explanation:

When the two resistors are connected in parallel, the equivalent resistance will be

R

P

=

R

1

+R

2

R

1

R

2

Differentiating both sides ,

R

P

ΔR

P

=

R

1

ΔR

1

+

R

2

ΔR

2

+

R

1

+R

2

Δ(R

1

+R

2

)

R

P

ΔR

P

=

6

0.3

+

10

0.2

+

16

0.3+0.2

==0.05+0.02+0.03125=0.10125

% error =

R

P

ΔR

P

×100=0.10125×100=10.125%