In the circuit pictured below the sizes of the resistors var

In the circuit pictured below the sizes of the resistors vary asR_3, >R_5, > R_1 >R_2, > R_4> R_6 Four students discussing the currents in this circuit make the following statements: Anne: \"I think the current in R_6, and R_5, will be the largest because all of the current from the battery goes through both of those resistors.\" Benicio: \"I think the current through R_4, will be the smallest because that resistor is the last one in the circuit to get the current, and it is the smallest resistor.\" Celestine:\"I am not sure about the largest current, but I think the current in R_3, will be the lowest because R_3, has the largest resistance.\" Delcer: \"The only thing I am sure about is that the current across R_6, will be the largest because it is the smallest resistor in the circuit\". With which, if any, of these students do you agree? Anne Benicio Celestine Dulce None of them Explain your reasoning.

Solution

Anne is right, the largest current in the circuit flows through R₅ and R₆. when current through R₁ R₂ R₃ and R₄ are summed up, we get this maximum current.

What Benicio thinks is completely wrong, as described in previous argument.

Celestine says, current through R₃ is minimum, since it has highest resistance. Of course this fact is true, because voltage accross R₁ R₂ R₃ and R₄ is fixed and I = V/R.

The fact stated by Dulce is correct but reason is not correct. The whole current flows through R₆ , thats why it is maximum.