When a voltage V = 100 ± 5V is applied to a resistor, an electric current I = 10 ± 0.2 A is obtained. What is the percentage error in R?

Physics
When a voltage V = 100 ± 5V is applied to a resistor, an electric current I = 10 ± 0.2 A is obtained. What is the percentage error in R?

ScanSolve AI Answer

Answer

10 \Omega

Step 1: Ohm's law formula is V=IRV = IR, so resistance R=VIR = \frac{V}{I}.

Step 2: Substitute V=100V = 100 V and I=10I = 10 A.
R=100 V10 AR = \frac{100~V}{10~A}

Step 3: Simplify the expression.
R=10 ΩR = 10~\Omega

10 \Omega

Step 1: Ohm's law formula is V=IRV = IR, so resistance R=VIR = \frac{V}{I}.

Step 2: Substitute V=5V = 5 V and I=0.2I = 0.2 A.
R=5 V0.2 AR = \frac{5~V}{0.2~A}

Step 3: Simplify the expression.
R=25 ΩR = 25~\Omega

25 \Omega

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Quick Answer

Ohm's law formula is V = IR, so resistance R = (V)/(I). Step 2: Substitute V = 100 V and I = 10 A.

When a voltage V = 100 ± 5V is applied to a resistor, an electric current I = 10 ± 0.2 A is obtained. What is the percentage error in R?
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Ohm's law formula is V = IR, so resistance R = (V)/(I). Step 2: Substitute V = 100 V and I = 10 A. R = 100~V10~A Step 3: Simplify the expression. R = 10~ 10 Step 1: Ohm's law formula is V = IR, so resistance R = (V)/(I). Step 2: Substitute V = 5 V and I = 0.2 A. R = 5~V0.2~A Step 3: Simplify the expression. R = 25~ 25