Answer:
5.50 Volts.
Explanation:
Given:
According to the Ohm's law, the voltage across a resistor of resistance R is given as:
V = IR.
where, I is the current passing through the resistor.
When the two resistors are connected in series, then the current through both the resistors should be same,
Then,
The voltage across the first resistor of resistance [tex]\rm R_1[/tex] is [tex]\rm V_1 = IR_1[/tex].
The voltage across the second resistor of resistance [tex]\rm R_2[/tex] is [tex]\rm V_2 = IR_2[/tex].
The total effective resistance of the series combination of the two resistors is [tex]\rm R=R_1+R_2[/tex].
Adding the voltage drop across each resistor,
[tex]\rm V_1+V_2=IR_1+I_R_2=I(R_1+R_2)=IR[/tex].
[tex]\rm IR[/tex] is the input voltage applied across the series combination of the two resistors, therefore,
[tex]\rm V=V_1+V_2\\\Rightarrow V_1 = V-V_2 \\=6.50\ V - 1.00\ V\\=5.50\ V.[/tex]